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

• 成果类型: Article
• 署名作者: Brzeniak, Zdzislaw; Motyl, Elzbieta; Ondrejat, Martin
• 署名单位: University of York - UK; University of Lodz; Czech Academy of Sciences; Institute of Information Theory & Automation of the Czech Academy of Sciences
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/16-AOP1133
• 发表日期: 2017
• 页码: 3145-3201
• 关键词: evolution-equations; wave-equations; stationary solutions; banach-spaces; driven; EXISTENCE; martingale; VALUES; noise; perturbation

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.