99-486 J.Bricmont, A.Kupiainen, R.Lefevere
Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations (36K, LATeX 2e) Dec 22, 99
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Abstract. We consider the Navier-Stokes equation on a two dimensional torus with a random force, white noise in time and analytic in space, for arbitrary Reynolds number $R$. We prove probabilistic estimates for the long time behaviour of the solutions that imply bounds for the dissipation scale and energy spectrum as $R\to\infty$.

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