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数学学科动力系统与非线性分析研究所学术报告(吕克宁 美国杨百翰大学)

发布者:戴 情   发布时间:2021-06-19  浏览次数:93

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 美国杨百翰大学Brigham Young University教授

报告时间:2021621周一下午15:00-16:00

报告地点:腾讯会议(会议号:450 962 010


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.


个人简介:吕克宁(Kening Lu现任美国杨百翰大学教授,从事无穷维动力系统研究已发表论文80余篇,发表刊物包Inventiones MathematicaeCommunications on Pure and Applied MathematicsMemoirs of American Mathematical SocietyArchive for Rational Mechanics and AnalysisJournal of Differential Equations,现任Journal of Differential Equations共同主编。


邀请人:动力系统研究团队