COLLOQUIO DE GIORGI

Vladimir Sverak

University of Minnesota

“PDE aspects of the Navier-Stokes equations”

Abstract

Solutions of incompressible Navier-Stokes equations can exhibit a wide spectrum of different types of behavior. In various regimes, the equations contain as special limiting cases  for example the classical heat equation, the non-linear Schroedinger equation, various other dispersive equations with strange dispersion  relations, various non-trivial finite-dimensional dynamical systems, some classical geometric semilinear elliptic equations, etc. Recently an unexpected connection between control theory for parabolic equations and Navier-Stokes regularity emerged. In addition, when thinking about realistic fluid flows and applications, ideas from statistical mechanics enter the picture.  In the lecture  I will explain (a limited number of) some PDE aspects of these equations.

Martedì 19 giugno 2007

ore 16.00

Aula Bianchi

Piazza dei Cavalieri, 7

PISA