About PDMI 
 Euler IMI
 Conferences IMI
St.Petersburg   Department   of   V.A.Steklov    Institute   of   Mathematics
of   the   Russian   Academy   of   Sciences
Math. analysis Math. logic Math. physics Stat. methods
Research Algebra and Number Theory Geometry and Topology Math. Problems of Physics Math. Problems of Geophysics Representation Theory
and Dynamical Systems
Laboratory of Mathematical Physics
Head of Laboratory:  Professor   G.А.Seregin
Members Research
G.А.Seregin  Head of Laboratory
N.D.Filonov  Senior Fellow
N.А.Karazeeva  Research Fellow
A.S.Mikhailov  Senior Fellow
S.I.Repin  Deputy Director for Science
Т.N.Shilkin  Senior Fellow
V.А.Solonnikov  Leading Research Fellow
А.F.Vakulenko  Research Fellow
A new rapidly developing direction in qualitative theory and the theory of asymptotic methods for nonlinear partial differential equations, in particular for the viscous liquid hydrodynamics equations, was originated, i.e. non-local stability theory and attractor theory for autonomous evolutional problems of dissipative type, as well as the theory of compact and asymptotically compact semigroups of nonlinear operators acting in a locally noncompact metric phase space.

A stationary problem with free boundaries for the Navier--Stokes equations and a problem of evolution of an isolated finite volume of viscous noncontractive liquid were solved.

The limiting smoothness of generalized solutions of quasilinear parabolic equations admitting double degeneration was proved.

A theory of solvability of initial-boundary value problems for equations of motion of linear viscous-elastic liquid was developed.

Binomial asymptotic formulae for the distribution function of eigenvalues and the spectral function of elliptic selfadjoint differential operator with regular elliptic boundary conditions on a smooth compact manifold with edge were obtained.

  ©  2008 - 2009   St.Petersburg Department of Steklov Institute of Mathematics RAS