2D stochastic Navier-Stokes equations with a time-periodic forcing term

被引：32

作者：

Da Prato, Giuseppe ^{[2
]}

Debussche, Arnaud ^{[1
]}

机构：

[1] Ecole Normale Super, F-35170 Bruz, France

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2008年 / 20卷 / 02期

关键词：

stochastic Navier-Stokes; periodic coefficients; invariant measures;

D O I：

10.1007/s10884-007-9074-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the long time behavior of the solution X(t, s, x) of a 2D-Navier-Stokes equation subjected to a periodic time dependent forcing term. We prove in particular that as t -> infinity, E[phi(X (t, s, x))] approaches a periodic orbit independently of s and x for any continuous and bounded real function phi.

引用

收藏

页码：301 / 335

页数：35

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