报告题目:Statistical Properties of 2D stochastic Navier-Stokes Equations with time-periodic forcing and degenerate stochastic forcing
报告人: 吕克宁教授,美国杨伯翰大学
时间: 2021.6.25(星期五)上午:9:30--10:30
地点: 腾讯会议,会议 ID:776 931 172 (9:00-11:00)
摘要: We consider the incompressible 2D Navier-Stokes equations with periodic boundary conditions driven by a deterministic time periodic forcing and a degenerate stochastic forcing. We show that the system possesses a unique ergodic periodic invariant measure which is exponentially mixing under a Wasserstein metric. We also prove the weak law of large numbers for the continuous time inhomogeneous solution process. In addition, we obtain the weak law of large numbers and central limit theorem by restricting the inhomogeneous solution process to periodic times.
邀请人:廖刚