Dept. of Applied Mathematics and Mathematical Physics

Division of Solid State Electronics

ASYMPTOTIC AND SINGULAR PERTURBATION METHODS
The development of asymptotic approach to the manyscaled problems. The application of the singular perturbation methods to the problems of thermoelasticity, thermoconductivity, kinetics and magnetic hydrodynamics.
COMPUTATIONAL MODELLING OF THE PHYSICAL PROCESSES IN CONTINUOUS MEDIA
The development of the numerical methods for the calculation of the process of the crystal growth, radiative heat transfer in semitransparence media. Construction of algorithms for the estimation of the power and threshold characteristics of the semiconductors lasers on the base of quantum wells. Monte-Carlo simulation of electron transport in solids. Computations of electron-atom scattering cross sections.
PHYSICS OF NEUTRON STARS
Studies of internal structure and thermal evolution of neutron stars; thermal emission from the their atmospheres; interpretation of multiwavelenght observations.
INTEGRAL TRANSFORMATIONS AND SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS
The development of the theory of integral expansion on the hypergeometric functions.
NONLINEAR DYNAMICAL SYSTEMS
Investigation of the properties of the Poincare map in dynamical systems with the homoclynic trajectory. The asymptotic of the solution of nonlinear systems in the vicinity of the bifurcation point. Study of chaotic behaviour of the coupled spin system of optically oriented electrons and nuclei in semiconductors.
DATA BASES FOR NATURAL SCIENCE AND SCIENTIFIC MANAGEMENT