ATTRACTORS FOR RANDOM DYNAMICAL-SYSTEMS

被引：885

作者：

CRAUEL, H ^{[1
]}

FLANDOLI, F ^{[1
]}

机构：

[1] SCUOLA NORMALE SUPER PISA, I-56126 PISA, ITALY

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1994年 / 100卷 / 03期

关键词：

Mathematics Subject Classification: 58F11; 58F12; 34D45; 35Q30;

D O I：

10.1007/BF01193705

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A criterion for existence of global random attractors for RDS is established. Existence of invariant Markov measures supported by the random attractor is proved. For SPDE this yields invariant measures for the associated Markov semigroup. The results are applied to reaction diffusion equations with additive white noise and to Navier-Stokes equations with multiplicative and with additive white noise.

引用

页码：365 / 393

页数：29

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