00-412 J.Bricmont, A.Kupiainen, R.Lefevere
Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics (460K, postscript) Oct 20, 00
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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.

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