Existence of global stochastic flow and attractors for Navier-Stokes equations

被引:24
作者
Capinski, M
Cutland, NJ
机构
[1] NLU, Nowy Sacz Grad Sch Business, Dept Finance, PL-33300 Nowy Sacz, Poland
[2] Univ Hull, Dept Math, Hull HU6 7RX, N Humberside, England
关键词
stochastic Navier-Stokes equations; stochastic flow; stochastic attractors;
D O I
10.1007/s004400050238
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
For 2-D stochastic Navier-Stokes equations on the torus with multiplicative noise we construct a perfect cocycle and show the existence of global random compact attractors. The equations considered do not admit a pathwise method of solution.
引用
收藏
页码:121 / 151
页数:31
相关论文
共 16 条
[11]   ATTRACTORS FOR RANDOM DYNAMICAL-SYSTEMS [J].
CRAUEL, H ;
FLANDOLI, F .
PROBABILITY THEORY AND RELATED FIELDS, 1994, 100 (03) :365-393
[12]  
CUTLAND NJ, 1983, J LOND MATH SOC, V27, P529
[13]  
Hurd Albert E., 1985, INTRO NONSTANDARD RE
[14]  
Temam R., 2012, Infinite-dimensional dynamical systems in mechanics and physics, V68, DOI [10.1007/978-1-4684-9016-9_5, DOI 10.1007/978-1-4684-0313-8, 10.1007/978-1-4684-0313-8]
[15]  
TEMAM R, 1979, NAVIERSTOKES EQUATIO
[16]  
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