00-113 Jean Bricmont, Antti Kupiainen, Raphael Lefevere

Ergodicity of the 2D Navier-Stokes Equations with Random Forcing (222K, Postscript) Mar 15, 00

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Abstract. We consider the Navier-Stokes equation on a two dimensional torus with a random force, acting at discrete times and analytic in space, for arbitrary Reynolds number $R$. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.

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