2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58465We 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 pagesMathematical Physicstext