Exponential mixing for the 3D stochastic Navier-Stokes equations

被引：20
|
作者：
Odasso, Cyril
机构：
[1] Ecole Normale Super, F-35170 Bruz, France
[2] Univ Rennes 1, IRMAR, CNRS, UMR 6625, F-35042 Rennes, France
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 270卷 / 01期
关键词：
D O I：
10.1007/s00220-006-0156-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the Navier-Stokes equations in dimension 3 (NS3D) driven by a noise which is white in time. We establish that if the noise is at the same time sufficiently smooth and non-degenerate in space, then the weak solutions converge exponentially fast to equilibrium. We use a coupling method. The arguments used in dimension two do not apply since, as is well known, uniqueness is an open problem for NS3D. New ideas are introduced. Note however that many simplifications appear since we work with non degeneratenoises.
引用
收藏
页码：109 / 139
页数：31
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