Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations

Details Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations

1999-12-27

arxiv.org/abs/math-ph/9912018v1

Physics

Mathematical Physics

10 pages

Scientific paper

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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