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 杨伯翰大学

报告时间：2021年08月28日 10:00

报告地点：腾讯会议 会议 ID：186 560 005 会议密码：210828

点击链接入会，或添加至会议列表：https://meeting.tencent.com/dm/tkJ0yfv8r3P4

校内联系人：魏元鸿  weiyuanhong@jlu.edu.cn

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.

报告人简介：吕克宁，现任杨伯翰大学教授，从事无穷维动力系统的研究。