CONVERGENCE OF TRANSPORT NOISE TO ORNSTEIN-UHLENBECK FOR 2D EULER EQUATIONS UNDER THE ENSTROPHY MEASURE

• 成果类型: Article
• 署名作者: Flandoli, Franco; Luo, Dejun
• 署名单位: Scuola Normale Superiore di Pisa; Chinese Academy of Sciences
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/19-AOP1360
• 发表日期: 2020
• 页码: 264-295
• 关键词: 2-dimensional euler; stokes; uniqueness; l-1-uniqueness; Generators; FLOWS

摘要

We consider the vorticity form of the 2D Euler equations which is perturbed by a suitable transport type noise and has white noise initial condition. It is shown that stationary solutions of this equation converge to the unique stationary solution of the 2D Navier-Stokes equation driven by the space-time white noise.