INVARIANT MEASURE FOR THE STOCHASTIC NAVIER-STOKES EQUATIONS IN UNBOUNDED 2D DOMAINS

被引：73

作者：

Brzeniak, Zdzislaw ^{[1
]}

Motyl, Elzbieta ^{[2
]}

Ondrejat, Martin ^{[3
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] Univ Lodz, Fac Math & Comp Sci, PL-91238 Lodz, Poland

[3] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, CZ-18208 Prague 08, Czech Republic

来源：

ANNALS OF PROBABILITY | 2017年 / 45卷 / 05期

关键词：

Invariant measure; bw-Feller semigroup; stochastic Navier-Stokes equations; EVOLUTION-EQUATIONS; WAVE-EQUATIONS; STATIONARY SOLUTIONS; BANACH-SPACES; DRIVEN; EXISTENCE; MARTINGALE; VALUES; NOISE; PERTURBATION;

D O I：

10.1214/16-AOP1133

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：

Building upon a recent work by two of the authors and J. Seidler on bw-Feller property for stochastic nonlinear beam and wave equations, we prove the existence of an invariant measure to stochastic 2-D Navier-Stokes (with multiplicative noise) equations in unbounded domains. This answers an open question left after the first author and Y. Li proved a corresponding result in the case of an additive noise.

引用

页码：3145 / 3201

页数：57

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