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
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
收藏
页码:365 / 393
页数:29
相关论文
共 21 条
[1]  
ARNOLD L, 1991, LECT NOTES MATH, V1486, P1
[2]  
ARNOLD L, UNPUB MONOGRAPH
[3]  
ARNOLD L, 1990, 219 I DYN SYST REP
[4]   PATHWISE GLOBAL ATTRACTORS FOR STATIONARY RANDOM DYNAMIC-SYSTEMS [J].
BRZEZNIAK, Z ;
CAPINSKI, M ;
FLANDOLI, F .
PROBABILITY THEORY AND RELATED FIELDS, 1993, 95 (01) :87-102
[5]  
Castaing C., 1977, LECT NOTES MATH
[6]  
Crauel H., 1991, Stochastics and Stochastics Reports, V37, P153, DOI 10.1080/17442509108833733
[7]  
CRAUEL H, UNPUB RANDOM DYNAMIC
[8]  
CRAUEL H, 1990, J DYNAMICS DIFFERENT, V2, P245
[9]  
Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI [DOI 10.1007/978-3-662-00547-7, 10.1007/978-3-662-00547-7]
[10]  
Dunford N., 1958, LINEAR OPERATORS