FACULTY OF MECHANICS AND MATHEMATICS

5 Zorge St., Rostov-on-Don, Russia 344090

E-mail: dnjme @ ns. unird. ac. ru

Tel. 22-08-96.

Training is provided in the following specializations: mathematics, applied mathematics, mechanics.

Academic specializations: computer software design mathematical simulation; mathematical physics; the theory of functions and functional analysis; geometry and topology; differential and integral equations; computational mathematics; discrete mathematics; theory of elasticity; hydroaeromechanics

Training for Master’s and Candidate of Science degrees is provided in all specializations. Doctoral degrees are available in mathematical analysis and the theory of elasticity.

DEPARTMENT OF APPLIED MATHEMATICS AND PROGRAMMING

Tel. 22-24-22.

Department’s main areas of research:

Simulation of ecological systems; data base projecting ; stability of viscous-elastic systems; ecological education.

GORSTKO A. B. Simulation of complex systems; environmental simulation; ecological education.

DOMBROVSKY Yu.A., D.S. in Phys. & Math., Prof., National Prize Winner. Mathematical simulation of ecological systems.

DEPARTMENT OF ALGEBRA AND DISCRETE MATHEMATICS

Tel. 22-24-22, 22-13-12.

Department’s main areas of research: the theory of singular integral operators; the theory of pseudodifferential operators; elliptic boundary value problems in nonsmooth domains; average methods in hydrodynamics; problems of mathematical physics in nonhomogeneous media; problems of wave propagation in open irregular wave guides: the theory of grapths; parallel calculus algorithms.

SIMONENKO I.B. Effective (stable and rapidly converging) direct methods for elliptic problems in nonsmooth domains.

PILIDI V.S., D.S. in Phys. & Math, Prof. The theory of singular integral operators (operators with infinite index included); The theory of bi -singular operators.

RABINOVICH V.S., D.S. in Phys. & Math., Prof. The theory of pseudodifferential operators (including the ones in unbounded domain), elliptic boundary value problems in nonsmooth domains, boundary problems of wave propagation.

GRUDSKY M.S., D.S. in Phys. & Math., Prof. Singular operators with degenerate symbols.

DEPARTMENT OF DIFFERENTIAL AND INTEGRAL EQUATIONS

Tel. 22-08-69.

Department’s main areas of research:

the theory of hypersingular integrals of arbitrary order; fractional integro-differentiation of functions of several variables; fractional powers of differential operators, commuting with shifts; convolution operators with homogeneous kernels.

SAMKO S.G. Hypersingular integrals: inversion problems and bound functional spaces

KARAPETYANTS K.N., D.S. in Phys. & Math., Prof. Integral convolution operators with homogeneous kernels and variable coefficients.

DEPARTMENT OF MATHEMATICAL ANALYSIS

Tel. 24-03-83.

Department’s main areas research: The general theory of absolute represented systems; epimorphism of convolution and convolution-like operators in various spaces of functions of complex variables; interpolate problems in function spaces with respect to basis problems.

KOROBEINIK Yu.F. Linear operators in complex analysis; convolution operators and represented systems in analytical space functions.

ABANIN A. V., D.S. in Phys. & Math., Prof. The theory of absolute represented systems.

DEPARTMENT OF COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS

Tel. 22-13-12.

Department’s main areas of research: A study of solvability, uniqueness and correctness of boundary and initial boundary value problems in dynamics of ideal and viscous liquid; analytical dynamics of a fluid and methods of infinite dimensional differential geometry; liquid’s movement stability; secondary regimes, turbulence models; asymptotic models of free gravitational convection with high and low viscosity and heat conductivity; spectral theory of linear operators at global perturbations; the general theory of operators; bifurcation intersection and formation of stochastic regimes.

YUDOVICH V.I Mathematical hydrodynamics and hydrodynamical stability theory; bifurcations theory in hydrodynamics and turbulence development ; in hydrodynamical systems with symmetry and cosymmetry; spectral theory of linear operators; oscillatory structures and oscillatory differential operators; asymptotic methods in solid state mechanics.

DEPARTMENT OF THEORETICAL HYDROAEROMECHANICS

Tel. 22-08-83.

Department’s main areas of research:

theoretical study of stationary and non-stationary flows of fluids and gases in lubricant layers of hydro and gasostatic bearings of various types and purposes, in gas dynamic bearings of magnetic heads, in Winchester-type storage devices and gas dynamic obturators; interaction of elastic plates and shells with compressible and incompressible liquids with regards to estrangement of plates from liquid zones, internal and surface waves in liquids in the presence of electromagnetic fields with regards to surface thermocapillary effects; crack formation in elastic bodies with regards to molecular cohesion forces.

SNOPOV A.I. Analytical and numerical methods of study of stationary and non-stationary flows of viscous gas in lubricant layers of hydrodynamic and gas static bearings of various types and purposes as well as dynamics of rotor systems with gas lubricated bearings.

DEPARTMENT OF OPERATIONS RESEARCH

Tel. 24-24-22.

Department’s main areas of research:

optimization models for designing structures made of composite materials; software for management.

ZHAK S.V. Optimization models for designing structures made of composite materials; software for management.

DEPARTMENT OF COMPUTER SCIENCE AND COMPUTATIONAL EXPERIMENT

Tel. 28-08-77.

Department’s main areas of research:

computer science; theoretical and applied programming; computational experiment; parallel calculations and algorithms; computer graphics.

NIKOLAYEV I.A. Numerical methods; computational experiment; parallel calculation and algorithms.

DEPARTMENT OF GEOMETRY

Tel. 24-03-83.

Department’s main areas of research:

The theory of surface bendings and related problems of partial differential equations; stochastic methods in differential geometry.

KLIMENTOV S.B. The surface bending theory and related problems of partial differential equations; stochastic methods in differential geometry.

MARKOV P.E., D.S. in Phys. & Math., Assoc.Prof. Riemann geometry of submanifolds.

DEPARTMENT OF ELASTICITY THEORY

Tel. 22-08-25. Department’s main areas of research: general theory of deformation and stability in thin-shelled structures and non-linear media with complex properties; oscillations and wave propagation in nonhomogeneous media with complex physical and mechanical properties.

VOROVICH I.I. A wide range of problems connected with mechanics of continuum media: plates and shells, the theory of oscillation processes and waves in elastic bodies, etc.

BELOKON A V., D.S. in Phys. & Math., Prof. Oscillation processes and waves in elastic anisotropic materials; the contact problems; problems of electro- and viscoplasticity.

VATULYAN A.O., D.S. in Phys. & Math., Prof. Direct and inverse problems for media with complex structure.

GETMAN I.P., D.S. in Phys. & Math., Prof. Mechanics of piezoceramics; the theory of elastic wave guides and resonators; computation methods for converters.

ZUBOV L.M., D.S. in Phys. & Math., Prof. Deformation and stability theory of non-linear media with complex structures.

KADOMTSEV I.G., D.S. in Phys. & Math., Prof. The theory of elastic-plastic impact.

POTETYUNKO E.N., D.S in Phys. & Math., Prof. Fluid wave motion with free boundaries.

USTINOV Yu.A., D.S. in Phys. & Math., Prof. Oscillations and waves in elastic and electroelastic nonhomogeneous media, wave guides and structures.

DEPARTMENT OF THE THEORY OF FUNCTIONS AND FUCTIONAL ANALYSIS

Tel. 22-13-13.

Department’s main areas of research: Linear problems of the complex analysis; bases in locally convex spaces; applied problems of mathematical statistics.

ZAKHARYUTA V.P. Linear problems of the complex analysis; topological invariants in locally convex spaces.

DRAGILEV M.M., D.S. in Phys. & Math., Prof. Bases in locally convex spaces.

KONDAKOV V.P., D.S. in Phys. & Math., Prof. The bases and geometry of linear spaces and operators.