Exponential mixing of the 2D stochastic Navier-Stokes dynamics

被引：63

作者：

Bricmont, J ^{[1
]}

Kupiainen, A

Lefevere, R

机构：

[1] Univ Catholique Louvain, B-1348 Louvain, Belgium

[2] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2002年 / 230卷 / 01期

关键词：

D O I：

10.1007/s00220-002-0708-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Navier-Stokes equation on a two dimensional torus with a random force which is white noise in time, and excites only a finite number of modes. The number of excited modes depends on the viscosity v, and grows like v(-3) when v goes to zero. We prove that this Markov process has a unique invariant measure and is exponentially mixing in time.

引用

页码：87 / 132

页数：46

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