Urgent!age limits!applications for Jobs,scholarships,etc.
"Michael Marchenko" <[email protected]>
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Dear Sir/Madam,
I need your help to apply for all programs, jobs, scholarships, etc. before
I am ineligible (or it is more difficult) to do this.
In you know any programs, scholarships, jobs, etc. for which people over 30
years of age either ineligible to apply or it is more difficult for them,
please let me know as soon as possible.
Legally my 30-th birthday comes on July 4, 2002. Even though I am much
younger than that nothing can be done to change my date of birth to the
correct date. Thus, my coming birthday makes me ineligible (or much more
difficult) to apply for many things after July 4, 2002.
I would like to ask to consider today s date as the date of my application.
I cannot fill in the application forms. Thus, I would like to ask to take
all the necessary information from the documents that I E-mail you.
I can do nearly all kinds of mechanical engineering, civil engineering,
structural engineering, aeronautical engineering and software engineering
work (including programming for Web- sites (Java, JavaScript, C++, etc.),
databases, etc.), work in the areas of mathematical modelling, physics,
etc.
I am very well familiar with fracture mechanics, theories of elasticity,
plasticity and creep. I am familiar with fluid dynamics, in particular with
computational fluid dynamics (CFD).
I was dealing with satellite technology and missile technology in my
country, dealing with dynamics, image processing, pattern recognition, etc.
Thus, this may also be considered relevant to aeronautical engineering.
I am sure that if I do any kind of work for you it will be the cheapest for
you. You will not be able to find anybody in the world who would agree to
take nothing for this work.
The quality of my work will be very high.
I am currently working for Australian and New Zealand employers. I am
writing scripts in PHP for them and using flash technology.
I am familiar with E- commerce, Internet technologies, programming using
PHP, JavaScipt, Visual Basic, C++, etc.
I can help to improve your Web site, for example.
I can give you the Web- sites for which I have done programming and Web
design.
These web- sites are the following:
www.4x4extreme.com.ua
www.pliva.ru
www.ad-paintball.ru
www.dncs.com.ua
www.orbita.dp.ua
http://turkin.org/pwd/
If I need to learn something in order to do better work I will learn very
quickly.
My qualifications and work experience as a computer professional,
mathematician and physicist have been positively assessed by New Zealand
Qualifications Authority (NZQA (www.nzqa.govt.nz)), by Australian Computer
Society (www.acs.org.au) and by VETASSESS (www.VETASSESS.com.au).
I have many very positive references from my employers and colleagues.
I have an equivalent of Ph.D. from Ukraine.
I worked in Australia for more than one year as a computer professional,
engineer and mathematical physicist.
I have been awarded many prestigious scholarships. I have 12 years of work
experience as a computer professional, engineer and as a mathematical
physicist. I am 28 years old.
I have approximately 20 scientific publications, some of which are in
international scientific journals such as Physical Review.
My experience encompasses work in the areas of project management,
complexity theory (chaos, fractals) and financial mathematics (options and
derivatives, stochastic partial differential equations, etc.)
In addition to my background in computers, mathematics and natural sciences
I have strong background in social sciences.
I have not included everything into this message thus, please contact me if
you need any additional information.
I can work either for very little money or for no money.
If you are not the best person for enquiries like that, could you please
forward my message to the right people?
I can present very strong evidence to support every single word in this
message in any form you need.
If you do not have any job for me now but you may have in the future please
put information about me into your database and contact me when you have
suitable positions.
I am sorry if it is inappropriate to send you this message.
Below is my brief resume.
Resume (Curriculum Vitae)
Name: Michael (Mykhaylo) Marchenko
tel. (61 2) 93117339 home;
Place of birth: Dnipropetrovsk, Ukraine
Education
INSTITUTION CITY/COUNTRY DEGREE ANDSPECIALISATION
Dnipropetrovsk State University Dnipropetrovsk, Ukraine Diploma with HIGHEST
HONOURS of Specialist in Physics and Applied Mathematics
Experience:
10/1994- 02/2001 and 10/2001- present
Organisation: Scientific and Engineering Centre EKOLGIYA- GEOS
Position: engineer programmer and mathematical physicist
Responsibilities:
Computation of mines using numerical and analytical approaches to the
relevant problems of mathematical physics and computer programming (C++,
Java, JavaScript, Visual Basic, FORTRAN, Pascal, etc.) as well as solving
mathematical problems with the application in environmental sciences and
resource management as well as application of Internet technologies were
included into the responsibilities.
07/1994- 11/1999
Organisation: Regional Centre for the Remote Sensing of the Earth Orbit,
Position: Engineer-Programmer
Responsibilities:
Applied the theory of approximation for the appropriate reception and
processing of satellite information. Determined the position of the
satellites in space at any given time with the help of mathematical models
of their movement in different co-ordinate systems. Dealt with problems of
images processing and pattern recognition, analysing data from radar and
scanners on the board of the Ukrainian satellite "Sich-1". Analysed wastes
of Dnipropetrovsk electric power station with the methods of remote sensing,
image processing and pattern recognition. Analysed causes of manmade and
natural disaster of June 6, 1997 when several multi-storey buildings
collapsed as a result of landslide, with application of geographical
information systems (GIS). For solving the aforementioned problems, computer
programs in Pascal, C, C++ and Assembler have been written.
Other Accomplishments: Diploma with honours from Dnipropetrovsk State
University (Ukraine) with "Excellent" grades (the highest possible grades)
in all courses. My TOEFL score is 253 computer based (610 paper based) test
and the result of mine in quantitative section of GRE test is 90%.
Language Reading Speaking Writing Listening
Ukrainian Excellent Excellent Excellent Excellent
Russian Excellent Excellent Excellent Excellent
Serbo-Croatian Good Poor Poor Poor
Bulgarian Good Fair Fair Good
French Good Poor Poor Fair
Spanish Good Poor Poor Fair
Chinese Poor Poor Poor Poor
Computer Skills: Microsoft Word, Excel, MatLab; C++, Pascal, FORTRAN, Java,
Java Script, PHP, Visual Basic, Mathematica and Assembler.
Knowledge in mathematics: Mathematical statistics, the theory of
probability, ordinary differential equations, partial differential
equations, mathematical theory of filters, algebra, analytical and
differential geometry, theory of numerical methods, tensor algebra and
analysis, game theory, graph theory, theory of approximations, fractal
theory, mathematical analysis, boundary differential equations, group
theory, functional analysis, mathematical theory of tissues and theory of
functions of complex variable. Numerical methods: Eiler and Runge-Kut
methods for numerical solving of differential equations, finite and boundary
element methods for numerical solving of boundary value problems, Simpson
method of numerical calculation of integrals, etc.
Scientific publications:
1. Combination of Analytical and Numerical Methods for Determining Stress
Intensity Factor for Interfacial Crack. Journal of Physical-Chemical
Dynamics of Materials, N. 6, 1998. Lviv, Ukraine.
2. Description of the Physical Processes Around the Crack on the Interface
of Two Materials, Taking Into Account Electromagnetic Effects and
Electroelasticity. "Collection of Scientific Papers in Physics."
Dnipropetrovsk State University Press, Dnipropetrovsk, Ukraine (1998).
3. Application of Boundary Element Method to Description of Crack on the
Interface of Two Media. Journal "Collection of Scientific Papers in
Physics." Dnipropetrovsk State University Press, Dnipropetrovsk, Ukraine
(1996).
4. Texts of presentations at the conference "FRANCE ET UKRAINE, EXPERIENCE
SCIENTIFIQUE ET PRACTICUE DANS LE CONTEXTE DU DIALOGUE DES CULTURES
NATIONALES" which took place on the 22-25 of May of 1995 in Dnipropetrovsk,
Ukraine. The theme of my report was "Mathematical Modelling of Distribution
of Pollutants in the Air". Dnipropetrovsk State University Press 1995.
5. Texts of presentations at the conference "Problems Physics and Applied
Mathematics" in Ternopil (Ukraine) in April of 1995. Ternopil State
University Press 1995. The theme of presentation: "Application of Boundary
Integral Equations for Determining of Stress Intensity Factors for the
Interfacial Crack".
6. Published report of the conference: Environmentally Safe Products Way
to Survival. Dnipropetrovsk, Ukraine, 29-30 November 1999. The topic of my
report: On the Transition from the Economic Paradigm to the Environmental
Paradigm.
7. The ALPHA- dependence of transition frequencies for ions Si II, Cr II, Fe
II, Ni II, and Zn II. International Journal Physical Review, 2002.
Main presentations on the scientific conferences and participation in
workshops:
1. I have won competition for participation in the Conference on the Issues
of Global Economy in Krakow, Poland, April 1-8, 2000. My presentation is
going to be on the problems of the indicators of sustainable economic
development of Ukraine.
2. Facilitator and interpreter at the workshop of Meliokontakt Oost Europa
(NGO from the Netherlands) Informational Management (for environmental
NGOs in Ukraine). Dnipropetrovsk; January 27-28, 2000.
3. Facilitator and interpreter at the workshop of Meliokontakt Oost Europa
(NGO from the Netherlands) Accounting for the Ukrainian NGOs (for
environmental NGOs in Ukraine). Dnipropetrovsk; January 25-26, 2000.
4. Presentations at the international scientific conference: Civic Education
Project Regional Conference 1999. Central Asia in the International Arena.
The American University in Kyrgyzstan. Bishkek, Kyrgyzstan. 9-11 December.
The themes of my presentations were the following: 1. Elections in
Khazakstan of 1999: Examining the Possibility of the Electoral Fraud and 2.
International Co-operation in Resolving of the Environmental Problems.
5. Conference: Environmentally Safe Products Way to Survival.
Dnipropetrovsk, Ukraine, 29-30 November 1999. The topic of my presentation:
On the Transition from the Economic Paradigm to the Environmental
Paradigm.
5. Facilitator and interpreter at the workshop of Meliokontakt Oost Europa
(NGO from the Netherlands) Raising Public Support (for environmental NGOs
in Ukraine). Dnipropetrovsk; 5-6 November of 1999.
7 Workshop: Institutions, Necessary for Sustainable Development.
Presentation: Institutions, Necessary for Sustainable Development in
Ukraine. Duke University, Durham, North Carolina, USA, October 15- 18, 1998.
8. International English language conference in Tyumen (Russia) on
sociological and legal issues for transitional countries. The theme of my
presentation was: "Social and Legal Aspects of the Environmental Problems in
Ukraine", March 26 -30, 1998.
9. Workshop on Philosophy of Science in Budapest, Oct. 9-14, 1997.
10. Presentation on "History and Evolution of the Ukrainian Culture" at the
Summer School INTERFACE-97 ("Interface: Celebration of Diversity"). August
9-20, 1997 in Slovakia.
11. International English language conference in Budapest (Hungary) on
Political Science, Sociology and International Relations, called:
"Confronting New Realities: The Impact of Reform" which took place on April
23-28, 1996. Paper: "Economic, Spiritual and Social Crises in Ukraine, Ways
of Natural Regeneration". (The list of participants has been published in
"Confronting New Realities: The Impact of Reform", Budapest, 1996.)
12. "FRANCE ET UKRAINE, EXPERIENCE SCIENTIFIQUE ET PRACTICUE DANS LE
CONTEXTE DU DIALOGUE DES CULTURES NATIONALES" which took place on the 22-25
of May of 1995 in Dnipropetrovsk, Ukraine. (French speaking conference) The
theme of my report was "Mathematical Modelling of Distribution of Pollutants
in the Air".
13. "Problems Physics and Applied Mathematics" in Ternopil (Ukraine) in
April of 1995. The theme of presentation: "Application of Boundary Integral
Equations for Determining of Stress Intensity Factors for the Interfacial
Crack".
I can do nearly all kinds of computer programming work (including
programming for Web- sites (Java, JavaScript, C++, etc.), databases, etc.),
work in the areas of mathematical modelling, engineering, physics, etc.
I am currently working for Australian employers. I am writing scripts in PHP
and creating database management systems using MySql for them.
I am familiar with E- commerce, Internet technologies, programming using
PHP, JavaScipt, MySql, Visual Basic, C++, etc.
I can help to improve your Web site, for example.
I can give you the Web- sites for which I have done programming and Web
design.
These web- sites are the following:
www.4x4extreme.com.ua
www.pliva.ru
www.ad-paintball.ru
www.dncs.com.ua
www.orbita.dp.ua
http://turkin.org/pwd/
If I need to learn something in order to do better work for I will do that
and I will learn very quickly.
My qualifications and work experience as a computer professional,
mathematician and physicist have been positively assessed by Australian
Computer Society (www.acs.org.au) and by VETASSESS (www.VETASSESS.com.au).
I have many very positive references from my employers and colleagues.
I have an equivalent of Ph.D. from Ukraine.
I worked in Australia for more than one year as a computer professional,
engineer and mathematical physicist.
I have been awarded many prestigious scholarships
I have 12 years of work experience as a computer professional and as a
mathematical physicist.
I have approximately 20 scientific publications, some of which are in
international scientific journals such as Physical Review.
My experience encompasses work in the areas of project management,
complexity theory (chaos, fractals) and financial mathematics (options and
derivatives, stochastic partial differential equations, etc.)
I can present very strong evidence to support every single word here.
Membership in NGOs: Youth Environmental League (youth environmental NGO);
Zeleny Svit (The Green World), an environmental NGO; Nova Hvyla (New
Wave), youth NGO that promotes and conserves the Ukrainian national culture
in the country and, first of all, among young Ukrainians.
Interests: Classical music and dancing. Sports: Soccer player (middle line).
As a member of the local soccer team I have successfully participated in the
regional soccer competitions. Running: 3 kilometres in less than 10 minutes;
100 meters in 12.1 seconds.
Details of the referees who are familiar with my work:
First Referee:
Title: Dr.
Name: Dr. Leonid Krasin
Address: Regional Center for the Remote Sensing of the Earth, Orbit; 2
Panikahi Street, Dnipropetrovsk, 49000; Ukraine
Postcode: 49000
Occupation: Head of the Department of Image Processing and Pattern
Recognition
Telephone: 744-95-22, 744 -95-29
Fax No. -
Email -
Second Referee:
Title: Dr.
Name: Dr. Dmytro Nahorniy
Address: 24A Chernyshevsky street, Dnipropetrovsk, 49044 Ukraine
postcode: 49044
Occupation: Teaching Assistant at Dnipropetrovsk Academy of Civil
Engineering and Architecture
Tel: (+380562) 469313
Fax No. -
Email
Third referee:
Name of referent: Dr. Dmytro Teslenko
Title or position: Doctor of Science, Assistant of Professor at the
Department of Theoretical and Applied Mechanics of Dnipropetrovsk State
(National) University
Telephone numbers: Work Tel: (+380 562) 460091 Home Tel: (+380 562)
347872
Work address: 13 Naukovyy lane, Dnipropetrovsk, 49625 Ukraine
Fax number: -
Bellow are some essays and proposals:
Undergraduate Studies - include completed qualifications, incomplete studies
and current studies
Dnipropetrovsk National (former State) University is situated in the city of
Dnipropetrovsk, Ukraine
Diploma with the HIGHEST HONOURS (all the grades are perfect) of Specialist
in Physics and Applied Mathematics
(This degree is equivalent to both bachelors and masters degrees obtained
sequentially)
Postgraduate Studies - include completed qualifications, incomplete studies
and current studies
Last year of my study at Dnipropetrovsk National (former State) University
can be considered as completion of masters degree.
Research Proposals:
For Computer Science:
Proposal in Computer Science:
Event (story)-based movie segmentation and summarization for video retrieval
Recent developments in computing performance, multimedia compression and
communication technologies have made possible the creation of digital video
archives. Applications such as digital libraries, video-on-demand, digital
video broadcast, distance learning generate and use large collections of
video data. It is also expected that the storage of digital video at home
will soon overtake the current analog video systems []. However, unlike the
document databases that use keywords to quickly access large quantities of
data, video databases still lack techniques for efficient organization,
searching and retrieval. Text-based video organization based on manual
annotation is highly inefficient, tedious and time consuming. Recently, some
content-based prototype systems have been developed to automatically
organize video in order to provide visual summary for rapid querying,
browsing and retrieval. The generally accepted content-based approach first
breaks up the video stream into temporally homogeneous segments called
shots. Each shot is then condensed into one or more representative frames
(key frames). Finally, shots are indexed using spatial features extracted
from the key frames (e.g. color, texture, shape) and temporal features
extracted from the shot (e.g. motion, camera operations, audio). The video
summary is typically a linear mosaic of key frames or a hierarchical tree of
key frames obtained by shot clustering. It can be used to browse the content
of the video sequence or find quickly the subsequences of interest and view
them. The retrieval is based on the similarity between the feature vector of
the query and feature vectors representing shots.
Movies are particularly important category of video programs. Shot based
organization and browsing may be useful for many types of videos, but it is
certainly not for full-length movies because of the following reasons.
First, the obtained shot-based structures representing the video content
will be very large and overly detailed due to the huge amount of shots in a
full-length movie. Second, it is highly unlikely that a user would think in
terms of shots when interacting with a movie retrieval system. A far more
probable scenario is that humans remember different semantically meaningful
events after having watched a movie and, hence, they also think in terms of
events during the retrieval process. Such an event can be a dialog, an
action scene, or generally, any series of shots unified by location or
dramatic incident[]. Instead of a single shot, the whole event should be
treated as an elementary retrieval unit in advanced movie retrieval systems.
Much better effectiveness can be achieved if data is organized into
retrievable units at a semantically meaningful level of abstraction such as
events that are consistent with how users perceive information.
The aim of this project is to investigate story (event) based segmentation
and summarization for browsing and retrieval of movies.
Most of the existing approaches for content-based video organization use
only visual information. Movies provide three more information sources that
can be exploited. Audio track is a valuable characteristic as audio content
differs significantly for the different stories. The text contained in the
video (e.g. title, name of the main actors that appear in the opening
sequence of a movie) can be detected, extracted, recognized and used for
movie indexing. Another important and unexplored source is the Teletex text.
It provides subtitling reproducing the soundtrack of the movies as closely
as possible and is intended to be viewed by hard-of-hearing people. With the
development of the digital TV many movies are expected to be subtitled. More
effective content-based organization can be achieved by integrating,
processing, organizing and indexing all these types of multimedia data.
The second goal of this project is to explore the combination of visual,
audio and text features for event-based segmentation and summarization of
movies.
Heuristics for story selection;
Sequential shots with similar color content usually belong to a common scene
because they share a common background. The color content of the frames
changes much more drastically at the end of an event than within an event.
The audio content usually differs significantly. Hence a shot boundary
without an audio cut does not establish an event boundary.
Consecutive shots are grouped into a scene if the shots can be identified as
representing a dialog. [15]
I have background of teaching masters level students and supervising some
maters projects at the department of Communication Systems at The National
University of (The) Ukraine. This will help me to pursue the research in the
aforementioned area.
References and Bibliography
[1] S.-F. Chang, W. Chen, H.J. Meng, H. Sundaram, D. Zhong (1997). VideoQ:
An automated content based video search system using visual cues, Proc. ACM
Multimedia Conf., Seattle.
[2] R.M. Ford, C. Robson, D. Temple, and M. Gerlach (2000). Metrics for shot
boundary detection in digital video sequences, Multimedia Systems, 8, pp.
37-46.
[3] B. Fritzke (1995). A growing neural gas network that learns topologies,
in Advances in Neural Information Processing, MIT press, Cambridge, pp.
625-632.
[4] B. Fritzke (1994). Growing cell structures a self-organizing network
for unsupervised and supervised learning, Neural Networks, 7(9), pp.
1441-1460.
[5] U. Gargi, R. Kasturi, and S.H. Strayer (2000). Performance
characterization of video shot change detection methods, IEEE Trans. on
Circuits and Systems for Video Technology, 10(1).
[6] P. O. Gresle and T.S. Huang (1997). Gisting of video documents: a key
frame selection algorithm using relative activity measure, Second Int.
Conference on Visual Information Systems.
[7] T. Kohonen (1997). Self-organizing Maps, 2d ed., Springer-Verlag,
Berlin.
[8] I. Koprinska and S. Carrato (2001). Video Segmentation: A Survey, Signal
Processing: Image Communication, Elsevier Science B.V., n. 16, pp. 477
500.
[9] I Koprinska and S. Carrato (2001). Hybrid Rule-Based/Neural Approach for
Segmentation of MPEG Compressed Video, Multimedia Tools and Applications,
Kluwer Academic Publishers, (accepted).
[10] I. Koprinska and N. Kasabov (2000). Evolving fuzzy neural network for
camera operations recognition, Proc. of the Intern. Conference on Pattern
Recognition, Barcelona, pp.523-526.
[11] A. Nagasaka and Y. Tanaka (1995). Automatic video indexing and
full-video search for object appearances, in Visual Database Systems II,
Elsevier, pp. 113-127.
[12] H.D. Wactlar (2000). Informedia search and summarization in the video
medium, Proc. of IMAGINA Conference, Monaco.
[13] H.J. Zhang, J. Wu, D. Zhong, and S. Smoliar (1997). An integrated
system for content-based video retrieval and browsing, Pattern Recognition
30(4), 1997, pp.643-658.
[14] Y. Zhuang, Y. Rui, T.S. Hunag, and S. Mehrotra (1998). Adfaptive key
frame extraction using unsupervised clustering, Proc. IEEE Intern.
Conference on Image Processing, v.1, pp. 866-870.
[15] Research proposal of Dr I. Koprinska.
For Computer Science:
Computer Science (second proposal in Computer Science):
Topic: Resource management
Applications of mathematical modeling and computer simulation for resources
management of different systems are suggested.
The example of sustainable development at the local level (local
sustainability) is considered.
In Computer Science:
Topic: Application of Artificial Intelligence to the Decision Making in
Medicine
Applications of mathematical modeling and computer simulation Application of
Artificial Intelligence to the Decision Making in Medicine are suggested.
For Computer Science:
Topic: Application of Mathematical Logic in Computer Science
Computer science is significantly based on mathematical logic. This research
proposal is concerned with exploring in depth the general area of
Application of Mathematical Logic in Computer Science.
For Information Systems:
Research Proposal in Information Systems:
Topic: Optimisation of Collaborative Databases
Methodology: Application of JAVASCRIPT and other tools
The more specific problems within the broader topic Optimisation of
Collaborative Databases that are planned to be tackled encompass
Application of JAVASCRIPT to On-line Construction of Collaborative Databases
and on-line System for Evaluating Actual Levels of Awareness of
Collaborating Workers.
JAVASCRIPT has significantly been chosen as a method since the database is
supposed to be accessible through the Internet.
Background
One of the main characteristics of human society is communication and
collaboration between people. Probably this is the most pivotal for the
society. If these communication and collaboration would be more efficient
the society would gain a lot.
This research has much to deal with the issues of social sciences and
psychology [8], which from the superficial point of view can be strange,
since in fact we deal with the problems of computer science.
Although communication among the collaborating workers in business
processes has always been an important issue to business organisations,
there is no measure for the effectiveness of collaboration. This paper
presents a model based on Awareness Levels to measure the level of
cooperation amongst different human roles in a business process. The
hypothesis is that collaboration among various roles within an enterprise
environment is improved by maintaining the awareness levels of individuals
at its desired level. [6]. [6] ...illustrates the awareness model through
its application in a large telecommunication service provider organisation.
According to this study, the awareness model seems to be able to explain
some problems of cooperation in this business environment. Since the model
is abstract in nature, it can be applied in different organisations and
businesses. [6].
[7] ...is based on previous work on collaborative process modelling, and
introduces a methodology for the design and implementation of databases that
specifically maintain actors' awareness about various aspects of
collaboration. This collaborative database system can be used as a
complementary subsystem in other types of collaborative databases systems
and workflow applications.
Process Awareness Framework (PAF) is used to derive a set of collaborative
structures (or, structures for short) that can be used for constructing the
database. Using this framework, a model of collaborative process is built
first. This model is representative of a collaborative process which uses a
a set of collaborative semantic objects and their relationships to one
another within the process. This model is then used to identify the
collaborative structures within the process that carry awareness information
relevant to the process. In other words, these structures are basically
records consisting of a set of collaborative semantic objects/concepts that
together make up various levels of awareness of the actors within the
collaborative process. These structures can then be used to populate the
proposed collaborative database. This paper also introduces, for the first
time, a software that implements this methodology using a network management
application. [7].
For Mechanical Engineering:
Research Proposal in Mechanical Engineering:
Topic: Tackling the Problems of Crack Propagation on the Interface of Two
Media
Methodology: Analytical methods of solving of the systems of partial
differential equations and numerical methods (Boundary Element Method and
Finite Element Method)
Formulation of the problem: To determine stresses and displacements for the
finite solid in the vicinity of the tips of interfacial crack, while the
solid is subjected to mechanical loads and to electromagnetic field.
Applications of the results of this research: The results of this research
can be applied in semiconductor industry and in bio- mechanics in addition
to the applications in industry.
Electromagnetic field causes stresses and displacements in piezoelectric
solids and in conductors the temperature and ponderomotive forces are caused
by this field. Dielectrics almost do not have free charges, current of
conductivity is low and changing of the magnetic field in time is small.
This is general formulation of the problem.
As special cases simple problems have been considered and are planned to be
considered in the future.
1. First of these problems is the problem of linear theory of elasticity for
homogeneous and isotropic solid. Finite plate which is bonded with rigid
media is considered. There is an interfacial crack on the interface of the
elastic plate and rigid media. The plate is subjected to uniform strain, the
intensity of which is P. This problem will be considered in-depth in the
future studies. The results of the computations for this model are available
in the sources, which are listed bellow.
Here while solving of this problem one can note that mathematical model
gives oscillation of stresses and displacements near the crack tips, which
in fact means interpenetration on the opposite faces of the crack. This is
impossible from the physical point of view. Thus, mathematical models are
not adequate in the vicinity of the crack tips. Further investigation of
this paradox is planned.
In order to deal with that paradox, another problem has been considered.
2. In the second case assumption about the frictionless contact between the
opposite faces of the crack has been adopted. This model permits avoid
oscillation of stresses and displacements in the vicinity of the crack tip.
Moreover, this model can easily be reconciled with the results of
experiments in the laboratories of mechanical engineering. Despite all these
advantages of the model we must admit that this model does not take into
account possible plastic deformations that may occur in the vicinity of
crack tips. The elasto-plastic model is the next step in the research. The
results of the computations for this model are available in the sources,
which are mentioned bellow.
3. The next problem applies the methodology of the problem 2 and deal with
the solid subjected to the concentrated forces (instead of distributed
load). The results of the computations for this model are available in the
sources, which are mentioned bellow.
4. Elastic plate bonded with rigid media with the crack on the interface
between the two media under the influence of mechanical loads and
electromagnetic field. This problem is the most general of all those
problems that have been solved. It includes all previous problems and
special (specific cases). The results of the computations for this model are
available in the sources, which are mentioned bellow.
For Mechanical Engineering:
Research Proposal on Structural Engineering (Using Smart Material for Active
Control)
Topic: Modeling of Constitutive Relations in One-dimensional Shape Memory
Alloy Structures
Introduction
The use of smart materials (or intelligent materials) for structural control
has increasingly received a great deal of attention from researches. Among
them are Shape Memory Alloys (SMA), which demonstrate a great potential for
active control in civil engineering applications. However, the present
constitutive models have lacked several important fundamental concept that
are essential for many of the proposed intelligent material system
applications such as shape memory hybrid composites. [2]
Main challenges: Shape Memory Alloys (SMA) must often be described by very
complex constitutive relations. These constitutive equations are usually
significantly non-linear, they include dependency of stresses and
displacements upon temperature and electromagnetic effects.
Significance of SMA: SMA are widely applied in medicine, biomedical
engineering, civil engineering, structural mechanics, electronic devices,
computer systems, etc.
The following is planned to be done:
A constitutive model for solid-solid phase transformations will be developed
for martensitic type transformations. We will investigate, model and
simulate one-dimensional behavior of shape memory alloys [3].
A complete unified one-dimensional constitutive model of shape memory
materials will be developed and presented. The thermo-mechanical model
formulation herein will investigate important material characteristics
involved with the internal phase transformation of shape memory alloys.
These characteristics include energy dissipation in the material that
governs the damping behavior, stress- strain- temperature relations for
pseudo-elasticity, and the shape memory effect. Some numerical examples
using the model will also be presented [2].
A unified one-dimensional theory of materials which are subjected to
thermo-elastic martensitic transformation or its reverse transformation will
be presented. The thermo-mechanical constitutive equations and the
transformation kinetics will be derived. The theory will be shown, for a
simple case in tension, to describe well the super-elasticity, the ferro-
electricity and the shape memory effect of the material [4].
Theoretical research is planned to be combined with experiments and
analysis of experimental data for SMA.
Research Methodology: Numerical methods such as Finite Element Method (in
particular programs like ANSYS and ABACUS are planned to be used), Boundary
Element Method and Finite Differences Method are planned to be applied.
These numerical methods will be combined with analytical methods of solving
of the problems of mechanics of continuous environment, mechanical
engineering and structural engineering. Applications of Theory of
Probability and Mathematical Statistics are possible in particular to create
phenomenological models of the processes in SMA (sometimes this is the only
way to describe extremely complex behavior of the system if this behavior
can not be described in any way).
Timeline: The work is planned to be completed in 3.5 years. For
approximately each year a publication in an international journal is
planned.
Proposal in Mathematics and/or Mechanical Engineering:
Topic: Application Theory of Probability and Mathematical Statistics to the
Problems of Structural Mechanics: Probabilistic modeling via the Poisson
processes in structural reliability
Probabilistic modeling via the Poisson processes is a very popular approach
in structural reliability. There are many theoretical and empirical
justifications for use of Poisson processes as a reasonable approximation
for input loads, corrosion processes, etc. [1].
Recently, the so-called filtered Poisson process for modeling of wind loads
has been used and the technique for calculation of the failure probabilities
has been developed. During the research work it is planned to develop
further this technique for solving other problems of structural reliability.
In particular, the failure of engineering structures under combination of
correlated stochastic loads (e.g., wind/wave) will be considered. As an
example of possible applications distributions of the first passage failures
and the crossing level rates of structural displacements modeled by random
field will be found. [1]
Another application concerns probabilistic modeling of pit corrosion (e.g.,
in steel ship plates). The distribution of the numbers of pits and
perforation times will be studied. Here Poisson processes (in time and
space) are considered as a very important issue. Some problems could have
one-dimensional character (as the loss of thickness, the first perforations
times), others are typically multidimensional (like total area of pits,
etc.) [1]
It is planned to obtain some explicit results (e.g., in the form of integral
presentations, for the failure probabilities) and based on them find under
the different assumptions analytical approximations (e.g., via Gaussian,
diffusion, Poisson, Large and Moderate deviation distributions) and compare
them with the results of numerical calculations (computations) and
Monte-Carlo simulation. [1]
More comprehensively it is planned:
· to extend previous approaches employing Poisson and diffusion processes in
each dimension in an attempt to side-step problems with correlation and with
the evaluation of out-or up-crossing rates. [1]
· to take the recent work of other scientists on the use of Filtered Poisson
Processes for random load modelling and to extend it to the multi-
dimensional random field problem; [1]
· to model the random multi- dimensional fluctuations occurring in several
areas of application in practical engineering problems, including (i)
corrosion depth and strength of steel plates such as found in ship hulls and
pipelines, (ii) join application of several environmental loads such as wind
and waves each are modeled as a random process, having a correlated
structure;
· using previous work on filtered Poisson processes, to develop alternative
description of extremes of stochastic fields for use in probabilistic
description of pitting corrosion of large plates and similar problems. [1]
Significance
Structural reliability is concerned with making statements about the
theoretical reliability (or safety) of structural systems such as buildings
and bridges but also including aircraft structural systems, ships hulls,
off-shore platforms, pipelines, etc. Currently, structural reliability
theory underpins the engineering rules for the design of new buildings and
bridges in most advanced (developed) in economic sense societies. In the
current jargon, such rules are called Limit State Design or, increasingly,
Performance Based Design rules. The reliability approach was adopted in an
attempt to lend credibility to earlier rules-of-thumb such as safety
factors but which were increasingly viewed with distrust and as not
defendable in terms of public safety justification. [1]
Much of the structural reliability theory is not visible to practicing
engineers. They deal, instead, with simplified rules amenable to day-to-day
design operations. However, they are aware of the underlying probabilistic
reasoning through having to make design decisions about average recurrence
times (return periods in the jargon) particularly for the environmental
loads likely to be applied to a structure. [1]
Structural reliability theory relies on a methodology for the handling of
probabilistic information. The theory also relies on having available
appropriate probability models for structural properties (such as yield
strength), probabilistic models to describe structural behavior, and models
for describing load process, particularly where several load processes are
involved. The present research proposal deals with one approach to some
aspects of the last two issues improvements in the modeling of structural
representation and in the improved modeling of multiple load processes. As
noted above, it is proposed to do this through the development of random
field theory. [We note that there are a range of other related options and
issues for further research in these areas it is not proposed to canvas
these here.] [1]
Improved modeling in these two areas in particular is required for the
following reasons:
· While practical design rules based on probabilistic underpinning are now
available, some important simplifications have had to be made to make
progress. In particular, simplified load combination rules have had to be
employed resolution of more appropriate models for load processes and for
their combination is still a matter of international research considerable
interest. We propose to try (attempt) to use random field theory using
discrete (e.g., Filter Poisson Process) models rather than continuos process
models. [1]
· Increasingly the evaluation of the safety and adequate performance of
existing structural systems is a matter of interest. This is because for all
advanced in economic sense societies the cost of infrastructure replacement
is becoming a major economic issue and pressures are building to attempt to
retain existing systems for longer periods, often well beyond their design
lives. Examples involving structural engineering include roads and railway
bridges, aircraft (such as Australias fleet of F18A and F111 fighter
aircraft) and naval vessels. It is well-known that application of design
rules of existing structures is likely to suggest that the system is not
safe. The reason for this need not be canvassed here, save to note that
design rules make allowances for matters which are actually realized during
design and construction and hence are known (albeit imperfectly) and that
experience with usage of a system lends a high degree of confidence in its
future survival. [1]
It follows that the evaluation of existing structural systems demands better
and more detailed approach to safety performance evaluation, at least when
the system is apparently near the margin, that is, close to the limit of
acceptability. The matter is important since (i) there are potentially large
economic implications in condemning structures which are actually within
acceptable safely limits and (ii) there are public safety issues (and legal
liability issues) in retaining in-service structures which are actually
outside acceptable safety limits. [1]
The present project will not be connected with the setting and development
of acceptable safety limits it will be supposed, reasonably that these are
available. What remains, then, is improved evaluation of structural
reliability for situations when the system is apparently near the margin.
Clearly this requires better modeling of system response and of the
environmental and other loads applied to the system. This present project
proposes to deal with these issues for (i) strength modeling of deteriorated
structural systems such as corroded steel plates and (ii) multiple
environmental loading. Moreover, it is proposed to do this through
development of theory of random fields, using an approach from the recent
work by other authors on filtered Poisson processes. [1]
Expected outcomes
(i) A theory related to failure distributions of Poisson random fields in
time and space. This will significantly expand techniques used in structural
reliability.
(ii) Computational algorithms based on the developed theory of calculations
of up- and out- crossing rates and failure probabilities of offshore
structures under wind/wave loads.
(iii) Developing a new model for pitting corrosion using Poisson random
fields.
(iv) Numerical evaluation of distributions of maximum of pit depth, first
perforation time and loss of thickness in steel plates and providing a
comparison with known experimental results. [1]
Research plan, methods and techniques
Research methods:
1. Integral transform and integration methods
Integral transformations such as Laplace- and Fourier transformations play
significant role in the study of the so- called boundary functional of
random processes and, in particular, failure distributions. We expect to
find a general integral equation for Laplace- transformation of first
passage times related to filtered Poisson processes. In fact, we already
derived this type of equation for the particular case when the shape
function of a load pulse is exponential, which is of interest for the
problem of structural displacements. Having in mind application for pit
corrosion we expect to derive this type of equation for the case of power
weighting functions.
The techniques of deriving this type of equations is based on the modern
stochastic analysis (calculus) and, in particular, on martingale calculus,
Walds equations. This technique has been applied successfully to the
finding of Laplace transformation of the first passage time through the
given level by filtered Poisson process with rectangular pulse shape
function by other scientists. After deriving and solving an integral
equation of Laplace- transformation the problem of its inversion is arisen.
In most cases it is quite difficult to obtain the inversion analytically, we
shall study a possibility of using the recurrent equation method to evaluate
and invert transformation numerically. [1]
2. Partial integro-differential equations
This approach consists of deriving parabolic integro- differential equations
for failure distributions as function of space and time parameters. Such
equations are typical in finance applications but only recently appeared in
the literature related to structural reliability. Though it is a more
powerful approach compared to the integral transform method, it usually does
not give explicit solutions. That is why different numerical schemes have to
be used. We expect that this approach will be especially useful in the case
of two- dimensional problems such as calculations of failure probabilities
of offshore structures under wind/wave loads. [1]
3. Simulation methods [1]
In principle, calculation of failure distributions always can be done by
Monte- Carlo method. Accuracy of this method can be dramatically improved
with the help of different variance reduction technique (importance
sampling, control variates, etc). Being often simple for implementation
these methods are always time- consuming. We will use it for checking
accuracy of other aforementioned methods. We will also try to implement a
new technique called Quasi Monte- Carlo which is proved to be very popular
in finance applications [1].
For Science and Technology:
Proposal on Quantum Computer:
TITLE: Theory of photodetection for applications to quantum informatics
"The requirement of nonlinearity for performing quantum computation and for
more effective quantum cryptography is a serious obstacle given that
nonlinearities are quite small in general and accompanied by unwanted
dissipation. Linear optics combined with accurate photon counting and
feedforward control may circumvent this major difficulty, but development
along these lines relies on a complete understanding of photodetection and
its intrinsic nonlinear processes. This project will develop a full theory
of photodetection with applications to quantum informatics.'
Research Proposal in Theoretical Physics:
Topic: Theory of Atoms: the Role of the Manybody and Relativistic Effects
Fundamental interactions are studied using the methods of atom physics. In
order to interpret experiments and search for the objects of measurement,
high precision atom calculations are necessary. In order to achieve the
necessary precision for multi electron atoms, it is necessary to take into
consideration both multi bodies and relativistic effects.
This area of research is developed rapidly, but the development of new
methods and approaches as well as application of these methods to new
objects are necessary.
For (Civil and) Environmental Engineering:
Topic: Application of Statistics and Theory of Probability in Environmental
Sciences
Application of Bayesian regression analysis to investigation of the problem
of distribution of liquid wastes is proposed.
The results of analysis of the samples of water from Dnipro River will be
used.
For (Civil and) Environmental Engineering:
Research Proposal and Workplan in Environmental Sciences:
Research Proposal
The topic of my dissertation is: Optimal transition of industrial region
(example of Dnipropetrovsk province of Ukraine) towards sustainable
development. This will include comparative analyses with developed
countries (case studies for nuclear and energy sectors, chemical and
metallurgical industries).
The main research question is how to implement the appropriate policies to
ensure the most efficient (in terms of minimal social costs) transition of
industrial region (example of Dnipropetrovsk province of Ukraine) towards
sustainable development.
What is new or unique about my approach to the problem?
To my knowledge, nobody employed such combination of methods of natural and
social sciences, applying of complexity theory and non-linear dynamics.
Conceptual model of functioning of an industrial region as a socio-
environmental- economic system will be designed. This model will encompass
description of various sub-systems of a social systems such as industrial
region, description of financial flows, flows of other resources and flows
of information between different sub-systems and stakeholders, such as
government, business, NGOs, etc.
Selection of the indicators will be done and the approach of calculation of
values of these indicators (which are going to describe dynamics of
industrial region as socio-economic system) will be suggested. The matrixes
of specific consumption of resources and specific pollution on the basis of
statistical data are planned to be built. These dynamic matrixes connect
vectors of production, resources and pollution in the system of differential
equations.
An integral criterion of assessment of the level of development of region as
a socio- environmentally- economic system will be formulated. This integral
criterion takes into account the income of the population, quality of the
environment and health of the population.
A dynamic computer simulation model of functioning of region as a socio-
environmental- economic system will be formulated. The mathematical
description of this model will be done.
On the basis of the results of computer simulation analysis of different
scenarios of development of region with maximisation of Social Development
Index (SDI) as criterion of efficiency is planned to be done.
Recommendations for policy makers about changing if interest rates, taxes
and distribution of the investments between different sectors of the economy
and protection of the environment will be made.
Theoretical background
Some scientific problems that my area of research encompasses have been
tackled in the works of Grupenhoff, Kamrin, Hook, Lucier, Robinson, Takashi
Sugimura, Nagao M, Yahagi T, Kawachi T, Kosuge T, Tsuji K, Wakabayashi K,
Mizusaki S, Matsumoto T, Mori M, Totsuka Y, Fukutome K, Yoshida T, Ames B,
Durston W, Yamasaki E, Lee F, Hileman I. Prigogine, M. Mazharov, V. Khazan,
V. Gurman, G. Averkh, A. Shapar, S. Polischuk, Dolyna L. and I. Liashenko.
Scientific works of Grupenhoff, Kamrin, Hook, Lucier, Robinson, Takashi
Sugimura, Nagao M, Yahagi T, Kawachi T, Kosuge T., Tsuji K., Wakabayashi K.,
Mizusaki S., Matsumoto T., Mori M., Totsuka Y., Fukutome K., Yoshida T.,
Ames B., Durston W., Yamasaki E., Lee F. and Hileman have been used for
establishing correlation between pollution of the environment and diseases
of the local population. Works of I. Prigogine have been utilised for
description of non-linear processes.
M. Mazharov, V. Khazan, A. Shapar and S. Polischuk have done a detailed
description of Dnipropetrovsk province as industrial region and have
suggested directions of its mathematical modelling. I do research at the
same research institute as these people and I apply their methodology, which
has been developed for many years in this famous research institution in my
own research.
Approaches of V. Gurman and I. Liashenko have been used for formulation of
differential equations that connect vectors of resources, production and
pollution. These differential equations constitute the basis of my model.
The aforementioned differential equations contain matrixes that connect
vectors of resources, production and pollution. The matrixes are determined
on the basis of statistical data. This statistical data for the model has
been taken from the sources that contain detailed description of production
cycles at different companies (first of all metallurgical plants, chemical,
mining enterprises and the companies of energy sector). These sources
comprise the following: Cleaner Production Assessment in Nizhnedneprovsk
Tube Rolling Plant, Ukraine, Study Report 1995/1, University of Amsterdam,
1995; Dolyna L., Liquid wastes of metallurgical plants and the ways of their
purifying, DANA project, Dnipropetrovsk, 1998; The best existing
technologies of reduction of the amounts of discharged wastes at
metallurgical factories, DANA project, Report, Dnipropetrovsk, 1999; etc.
The approaches of initial processing of the statistical data for the model
are based on the following scientific articles:
Reckhow K. A Comparison of Robust Bayes and Classical Estimators for
Regional Lake Models of Fish Response to Acidification// Water Resources
Research, Vol. 24, N 7, pages 1061-1068, July 1998.
Reckhow K. Water quality simulation modeling and uncertainty analysis for
risk assessment and decision making// Ecological Modelling, 72 (1994)
Elsever Science B.V., Amsterdam
Reckhow K. Improved Estimation of Ecological Effects Using an Empirical
Bayes Method// Water Recourses Bulletin. American Water Resource Association
Vol. 32, No. 5, October 1996.
Methods of research:
1. Methods of natural sciences (first of all mathematical and statistical
methods).
It is important to point out that modern mathematical methods and computers
have not yet reached (and may never reach) the level of development that
would allow to model social processes, utilising mathematical methods (since
the social processes that are connected with behaviour of individuals are
significantly non-linear and the ones that are difficult to be formalised).
This has been taken into account in the work on the dissertation. At the
same time, some social aspects can be effectively described by mathematics
and there are famous schools of thought that widely apply mathematical (in
particular statistical) methods in social sciences.
Applying of complexity theory and non-linear dynamics is the next important
research method.
Methods of remote sensing and application of geographic information systems
(GIS) are very significant. The resources of the local Centre for the Remote
Sensing of the Earth are available for me. These resources include data of
the remote sensing (satellite images and the results of their processing) as
well as the advanced hardware and software for GIS.
2. Methods of social sciences
· Empirical: utilising of statistics, analysis of documents, polls,
interviews, simulations and field research;
· Theoretical: critical rationalism, metaphysical, comparative, historical,
ethical and institutional.
Comparative analysis of the methods of social sciences and the mathematical
methods and finding the right synthesis of them is implied.
The main principle is the principle of systematic approach. This principle
allows taking into consideration the following:
· aspects of struggle for political power, including:
a) examining green political ideology and its efficiency in transitional
countries (case study of success of Ukrainian Green party in 1998
parliamentary elections in Ukraine);
b) stakeholders analysis;
c) how corruption distorts the investments in the country from their most
efficient directions and on how the government wastes natural resources
(because of corruption);
d) issues of lobbying in the parliaments and the governments for different
industries and sectors.
· comparative analyses of developed countries and Ukraine
4. Method of observation (observation of experience of transition of
industrial region towards sustainable development in developed countries
such as Japan, the United States and developed European countries).
Some of the main paradigms in the research are positivistic and
interpretative.
Basic concepts encompass the concept of sustainable development and the
concept of eco-space. Formalisation of the notion of sustainable
development in order to propose quantitative criteria of transition towards
sustainable development is going to be done. Also, metrics of eco-space will
be suggested.
Importance of the research topic
The environmental peril is considered to be one of the most pivotal for the
world. Peculiarities of dealing with the issues of sustainable development
in transitional countries are significant because these countries possess
nearly one third of the worlds natural resources. The problems of
sustainable development of transitional countries can become even more
important if there will be comparative analyses of the cases of developed
and transitional countries (such as Ukraine).
The results of the research will allow to find new more efficient ways for
fostering of transition of an industrial region towards sustainable
development though the efficient distribution of the investments and taxes
between different branches of economy, social sphere and protection of the
environment as well as establishing of optimal level of taxes and interest
rates for companies and branches of the economy.
Computer simulation of industrial region as a socio- environmentally-
economic system can become an effective and efficient tool for policy
decisions on distribution of financial resources for facilitation of
transition towards sustainable development. Computer simulation is
especially significant because it allows to trace different possible
scenarios with the help of computer model since it is not possible to do
experiments with real social system.
Proposed workplan for the duration of the program
Content of work Time frame (in months) Expected results
1. Scientific analysis of the concepts of sustainable development of
industrial regions in developed countries. Analysis of systems and methods
of management of social development of industrial regions. First month of
the program Presentation
2. Analysis of functioning of an industrial region as socio- environmental-
economic system. Scientific research of the issues of influence of monetary,
fiscal and tax policies on transition of a region towards sustainable
development. Analysis of possibilities of applying of experience of
developed countries in developing of strategies of transition of industrial
regions towards sustainable development. Second month of the program
Scientific article
3. Elaboration of conceptually- methodological approach to the problems of
facilitating transition of industrial regions towards sustainable
development
3.1 Development of structurally- functional scheme of an industrial region
as socio- environmental- economic phenomenon (resource potential, structure
of the economy, the intensity of material and financial flows and
interaction with the ambient natural environment) Third month of the program
scientific article
3.2 Elaboration of methods of research of technological cycles of industrial
manufacturers in the region and their influence on the state of ambient
environment and the health of the population Forth month of the program
Presentation
3.3 Determining and explaining of the optimal set of indicators for
description of dynamics of the industrial region as socio- environmentally-
economic system. Methodological approach to measuring and calculation of
these indicators (parameters of state of the system). Eco-space and its
metrics. Fifth month of the program Scientific article
3.4 Rationale for and design of an integral criterion for assessment of
level of development of a region Sixths month of the program Presentation
3.5 Recommendations for application of the experience of developed countries
for transitional countries of Eastern Europe Seventh month of the program
Scientific article
3.6 Rationale of structure of the model for computer simulation of
industrial region as socio- environmental- economic system. Mathematical
description of this model for computer simulation. Eighth month of the
program Presentation
4. Preparation of the results of research for publication and presentation.
Nineth and tenth months of the
program
Scientific report about the whole research
For Mathematics:
Research Proposal in Mathematics:
Topic: Tackling the Problems of Crack Propagation on the Interface of Two
Media
Methodology: Analytical methods of solving of the systems of partial
differential equations and numerical methods (Boundary Element Method and
Finite Element Method)
Formulation of the problem: To determine stresses and displacements for the
finite solid in the vicinity of the tips of interfacial crack, while the
solid is subjected to mechanical loads and to electromagnetic field.
Applications of the results of this research: The results of this research
can be applied in semiconductor industry and in bio- mechanics in addition
to the applications in industry.
Electromagnetic field causes stresses and displacements in piezoelectric
solids and in conductors the temperature and ponderomotive forces are caused
by this field. Dielectrics almost do not have free charges, current of
conductivity is low and changing of the magnetic field in time is small.
This is general formulation of the problem.
As special cases simple problems have been considered and are planned to be
considered in the future.
1. First of these problems is the problem of linear theory of elasticity for
homogeneous and isotropic solid. Finite plate is bonded with rigid media is
considered. There is interfacial crack on the interface of the elastic plate
and rigid media. The plate is subjected to uniform strain, the intensity of
which is P. This problem will be considered in-depth in the future studies.
The results of the computations for this model are available in the sources,
which are mentioned bellow.
Here while solving of this problem one can note that mathematical model
gives oscillation of stresses and displacements near the crack tips, which
in fact means interpenetration on the opposite faces of the crack. This is
impossible from the physical point of view. Thus, mathematical models are
not adequate in the vicinity of the crack tips. Further investigation of
this paradox is planned.
In order to deal with that paradox, another problem has been considered.
2. In the second case assumption about the frictionless contact between the
opposite faces of the crack has been adopted. This model permits avoid
oscillation of stresses and displacements in the vicinity of the crack tip.
Moreover, this model can easily be reconciled with the results of
experiments in the laboratories of mechanical engineering. Despite all these
advantages of the model we must admit that this model does not take into
account possible plastic deformations that may occur in the vicinity of
crack tips. The elasto-plastic model is the next step in the research. The
results of the computations for this model are available in the sources,
which are mentioned bellow.
3. The next problem applies the methodology of the problem 2 and deal with
the solid subjected to the concentrated forces (instead of distributed
load). The results of the computations for this model are available in the
sources, which are mentioned bellow.
4. Elastic plate bonded with rigid media with the crack on the interface
between the two media under the influence of mechanical loads and
electromagnetic field. This problem is the most general of all those
problems that have been solved. It includes all previous problems and
special (specific cases). The results of the computations for this model are
available in the sources, which are mentioned bellow.
For Economics and Management:
Proposal in Economics:
Background:
Ukraine goes through the economic hardships. It is really difficult to
suggest optimal solution for economic recovery of the country.
The main research question:
Find the most optimal ways of transition of Ukrainian economy to sustainable
growth. Here we consider the situation from the point of view of the
president and the government. Thus, we may vary the level of interest rates,
taxes and the rate of currency exchange.
Methodology:
The methods encompass application of mathematical methods and computer
simulation in combination with traditional methods of research in economics.
For Engineering and Telecommunications:
Research Proposal
Topic: The Optimal Development of Telecommunication Systems in Ukraine and
the Countries of the Former Soviet Union
Background:
Some of the biggest strides these days happen in telecommunication industry,
the pivotal componetnt of which is the industry of fiber optics and their
physical basis, photonic crystals.
This up-to-date methodology must be applied in Ukraine.
Main research question:
How to make more efficient telecommunication systems in Ukraine and the
countries of the former Soviet Union ingeneral.
Methods:
Mathematical methods of design of more efficient fiber optics in combination
with traditional methods of social sciences for assessment feasibility of
these projects in Ukraine, etc.
Additional Research Proposals:
For Engineering and Telecommunications:
Photonics:
Mathematical modeling and computer simulation of spreading of signals in
fiber optics
Numerical and analytical methods for solving of wave partial differential
equations in their applications to modeling and computer simulation of
spreading of signals in fiber optics are proposed. Among the analytical
methods are Furrier Transform and Method of Complex Potentials. Numerical
Methods encompass Finite Element Method (FEM), Boundary Element Method
(BEM), Finite Differences Method (FDM) and their combinations.
For Biotechnology:
Biochemistry, Biotechnology:
Application of deterministic mathematical methods together with the methods
of mathematical statistics and the theory of probability in biology
Applications of deterministic mathematical methods together with the methods
of mathematical statistics and the theory of probability in biology are
proposed.
Among the applied methods are partial differential equations, correlation,
regression and factor analyses.
Medicine:
Application of image processing and pattern recognition techniques in
medicine
Application of specific image processing and pattern recognition techniques
in medicine is suggested.
For Mathematics:
Proposal in Financial Mathematics
Topic: Modeling of Stochastic Volatility
Analysis of problems of Stochastic Volatility in Financial Mathematics will
be done using numerical methods, analytical approaches, computer simulation,
etc. The principles of analysis and synthesis will be applied in the
research.
It is planned to address
problems in financial mathematics of pricing and
hedging derivative securities in an environment of uncertain and changing
market volatility. These problems are important to investors, ranging from
large trading institutions to pension funds.
mathematical and statistical
tools
, - will be presented, - that exploit bursty nature of market
volatility. The mathematics is introduced through examples and illustrated
with simulations, and the approach described is validated and tested on
market data.([1], Abstract)
Regards,
Michael Marchenko
_________________________________________________________________
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