General Description

The research project is conducted by a consortium of three research entities: University of Craiova - project coordinator, The Institute of Mathematics "Simion Stoilow" of the Romanian Academy of Bucharest – second partner and Babes Bolyai University of Cluj – third partner.

This grant responds to priority areas of the FP6 framework program, as well as the strategic development plan of the scientific research of University of Craiova, Babes Bolyai University in Cluj and The Institute of Mathematics "Simion Stoilow" of the Romanian Academy in Bucharest.

The proposed theme has an interdisciplinary nature that sets the overall objective the study of mathematical core models for the area of nonlinear analysis, differential systems analysis to reflect their results in physics, mathematics, information theory, as well as biomathematics systems.

The Project topic is of great conceptual interest in the direction of global research in applied mathematics, the consortium formed is aiming to put together interdisciplinary knowledge that each research group has to highlight the application of fundamental models from equations theory with inhomogeneous, degenerate, singular partial derivatives, nonsupersingulare elliptic equations, potential theory, Markov branching processes.

The main interest is the creation of mathematical models to study the systems inhomogeneous, degenerate, singular partial differential equations, private nonsupersingulare elliptic equations, models analysis created on the based of the potential theory, and their extension by branched processes equations.

Using models developed for implementing them in information security study is another research direction, leading to its expansion in the study of information theory with applications in code theory. Besides raising the visibility of Romanian scientific research (through publications, international conferences, international scientific cooperation), the project aims to create highly qualified human resources.

Young Researchers

By his structure, the project focus on development of research capacities of young people and their training in areas of high importance of theoretical and applied mathematics. Fulfilling this goal is apparent in the articles described in section results, which were accepted in publications of international circulation. The project integrates the areas of expertise of the three romanian research groups. Due to balanced distribution and the basic and applied research lines of the group members it will take place on interdisciplinary collaboration. Each group has members who have experience in their work, evidenced by previous research contracts, through publications in the direction of the studied themes and actual results achieved in these directions.

Objectives and Activities

Class solutions for elliptic problems.
Methods to solve problems involving the presence of homogeneous operators.
Extending the results of the PAMS.
The study of development of mathematical models applicable to information structure, based on heterogeneous processors.
The study of parametrization decomposition phenomena of the nervous system.
The study of locating and multiplicating the radial solutions of stationary systems, elliptical, with different behaviors.
The study of development of models based on elliptic curves.
The study of compression-extension extension theorem in the case of systems of equations with decomposable operators..
The study at the limit of nonsupersingular elliptic equations models.
Analysis of connections between equations with a given form and the Markov branching processes.
The study of applying methods based on continuous dynamic systems observability.
Developing a complex model, 2D and 3D for simulating the normal and pathological electrical functionality of excitable cells, optimal models of elliptic equations with applications in criptology and analysis of information structures.

All the project's objectives were fullfield, more than that, were overcounted. Beside these, were created new research lines. All of these can be shown from Rezults section