- 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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