J.Bricmont, A.Kupiainen, R.Lefevere
Exponential Mixing of the 2D Stochastic Navier-Stokes 
Dynamics
(460K, postscript)

ABSTRACT.  We consider the Navier-Stokes equation on a 
two dimensional torus with a random force which is white noise 
in time, and excites only 
a finite number of modes. The number of excited 
modes depends on the viscosity $\nu$, and 
 grows like $\nu^{-3}$ when $\nu$ 
goes to zero. We prove that this Markov process 
has a unique invariant measure and is 
 exponentially mixing in time.