Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations

Bricmont, J.; Kupiainen, A.; Lefevere, R.

Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations

Authors

Bricmont, J.

Kupiainen, A.

Lefevere, R.

Description

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 $R\to\infty$.
10 pages