Ph.D., Moscow State University, Russia (1980)

Research Interests

Partial Differential Equations, Fluid Dynamics.

Existence and uniqueness theory for the Euler equations of an ideal incompressible fluid; Function spaces and wavelets; Linear and nonlinear stability theory of fluid motion; Navier-Stokes equations and the limit of vanishing viscosity; Nonselfadjoint spectral theory; Geometry of SDiff, Arnold's theory; "Set-theoretic" fluid dynamics (this expression is due to V.I.Yudovich); Asymptotic theory of quantum averages; Nonarchimedean analysis and p-adic L-functions