Exponential Mixing of the 3D Stochastic Navier-Stokes Equations Driven by Mildly Degenerate Noises

被引：11

作者：

Albeverio, Sergio ^{[2
]}

Debussche, Arnaud ^{[3
,4
]}

Xu, Lihu ^{[1
]}

机构：

[1] Brunel Univ, Dept Math, Uxbridge UB8 3PH, Middx, England

[2] Univ Bonn, Dept Appl Math, Bonn, Germany

[3] ENS Cachan Bretagne, F-35170 Bruz, France

[4] IRMAR, F-35170 Bruz, France

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2012年 / 66卷 / 02期

关键词：

3D stochastic Navier-Stokes equation (SNS); Kolmogorov equation; Galerkin approximation; Strong Feller; Exponential mixing; Mildly degenerate noises; Malliavin calculus; ERGODICITY; UNIQUENESS; PDE;

D O I：

10.1007/s00245-012-9172-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the strong Feller property and exponential mixing for 3D stochastic Navier-Stokes equation driven by mildly degenerate noises (i.e. all but finitely many Fourier modes being forced) via a Kolmogorov equation approach.

引用

页码：273 / 308

页数：36

共 23 条

[1] Exponential mixing of the 2D stochastic Navier-Stokes dynamics [J].