00-264 J.Bricmont, A.Kupiainen, R.Lefevere

Ergodicity of the 2d Navier-Stokes equation with random forcing (208K, postscript) Jun 13, 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 arbitrarily small viscosity coefficient. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.

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