Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations
数学物理
2007-05-23 v1 math.MP
摘要
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 . We prove probabilistic estimates for the long time behaviour of the solutions that imply bounds for the dissipation scale and energy spectrum as .
引用
@article{arxiv.math-ph/9912018,
title = {Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations},
author = {J. Bricmont and A. Kupiainen and R. Lefevere},
journal= {arXiv preprint arXiv:math-ph/9912018},
year = {2007}
}
备注
10 pages