A coupling approach to randomly forced nonlinear PDE's. I

被引：79

作者：

Kuksin, S ^{[1
]}

Shirikyan, A

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] VA Steklov Math Inst, Moscow 117966, Russia

[3] MSU, Inst Mech, Moscow 119899, Russia

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2001年 / 221卷 / 02期

关键词：

Stationary Measure; Ergodic Property; Coupling Approach; Unique Stationary Measure;

D O I：

10.1007/s002200100479

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a coupling approach to prove that a randomly forced dissipative PDE has a unique stationary measure and to study ergodic properties of this measure.

引用

页码：351 / 366

页数：16

共 12 条

[1]

BOROVKOV AA, 1992, SIB ADV MATH, V2, P16

[2]

Bricmont J., EXPONENTIAL MIXING 2

[3]

BRSESAUD X, IN PRESS ERGODIC THE

[4]

GIBMAN II, 1980, THEORY STOCHASTIC PR, V1

[5]

Hormander L., 1983, The Analysis of Linear Partial Differential Operators I

[6] Stochastic dissipative PDE's and Gibbs measures [J].

Kuksin, S ;

Shirikyan, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 213 (02) :291-330

[7]

KUKSIN S, ERGODICITY RANDOMLY

[8]

KUKSIN S, UNPUB ERGODIC THEORY

[9]

Lindvall T., 1992, Lectures on the coupling method

[10]

Mattingly J. C., GIBBSIAN DYNAMICS ER

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