Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs

被引：42

作者：

Masmoudi, N ^{[1
]}

Young, LS ^{[1
]}

机构：

[1] Courant Inst Math Sci, New York, NY 10012 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2002年 / 227卷 / 03期

关键词：

Dynamical System; Invariant Measure; Ergodic Theory; Dimensional System; Stokes System;

D O I：

10.1007/s002200200639

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a class of randomly perturbed dynamical systems satisfying conditions which reflect the properties of general (nonlinear) dissipative parabolic PDEs. Results on invariant measures and their exponential mixing properties are proved, and applications to 2D Navier-Stokes systems are included.

引用

页码：461 / 481

页数：21

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