University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday 7 March, 1:10-2:00pm
                          6183 Bahen Center      







SPEAKER: Sergei Kuksin (Ecole Polytechnique, France)

TITLE: Eulerian limit for randomly forced 2D Navier-Stokes equations

ABSTRACT: 

Consider the 2D Navier-Stokes equations (NSE) on a torus, perturbed by a 
random force. Assume that the viscosity $\nu$ is small and that the 
force is scaled in such a way that solutions remain of order one when 
$\nu$ converges to zero.  Then when $\nu$ goes to zero along a sequence, 
a stationary in time solution of NSE converges to a stationary random 
process (valued in the space of 2D vector fields), formed by solutions 
of the free 2D Euler equation. The limiting process, called {\it the 
Eulerian limit}, describes the stationary space-periodic 2D turbulence. 
In my talk I will discuss some its properties.