Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics

被引：0
|
作者：
J. Bricmont
A. Kupiainen
R. Lefevere
机构：
[1] UCL,
[2] Physique Théorique,undefined
[3] 1348 Louvain-la-Neuve,undefined
[4] Belgium,undefined
[5] Helsinki University,undefined
[6] Department of Mathematics,undefined
[7] P.O. Box 4,undefined
[8] Helsinki 00014,undefined
[9] Finland;,undefined
来源：
Communications in Mathematical Physics | 2002年 / 230卷
关键词：
Viscosity; White Noise; Finite Number; Markov Process; Invariant Measure;
D O I：
暂无
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学科分类号：
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 ν, and grows like ν-3 when ν goes to zero. We prove that this Markov process has a unique invariant measure and is exponentially mixing in time.
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页码：87 / 132
页数：45
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