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Statistical Properties of 2D stochastic Navier-Stokes Equations with time-periodic forcing and degenerate stochastic forcing
时间:2021年08月27日 23:21 点击数:

报告人:吕克宁

报告地点:腾讯会议ID:186 560 005

报告时间:2021年8月28日星期六10:00-11:30

邀请人:李勇、冀书关

报告摘要:

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.

会议密码:210828


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。

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