The Benard problem with random perturbations: dissipativity and invariant measures

被引：28

作者：

Ferrario, Benedetta ^{[1
]}

机构：

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

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1997年 / 4卷 / 01期

关键词：

White Noise; Invariant Measure; Heat Equation; Random Perturbation;

D O I：

10.1007/PL00001407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes equations perturbed by white noise, coupled with the heat equation. We prove an existence and uniqueness result for the solution and the existence of invariant measures for the associated semigroup.

引用

页码：101 / 121

页数：21

共 7 条

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