Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations

1999/12/27 by J. Bricmont, A. Kupiainen, Bricmont, J. +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9912018

10 pages

arxiv created 1999/12/27 · arxiv updated 2009/11/30

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→∞.

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