一、题目

Statistical Properties of 2D stochastic Navier-Stokes Equations with time-periodic forcing and degenerate stochastic forcing

二、主讲人

吕克宁

三、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.

四、主讲人简介

吕克宁，现任杨伯翰大学教授，从事无穷维动力系统的研究。

五、邀请人

胡锡俊 数学学院教授

六、时间

10月11日（周一）9:00-10:00

七、地点

腾讯会议 ID：194 515 933

八、主办方

山东大学数学学院