11月29日 朱湘禅研究员学术报告(数学与统计学院)

来源:数学行政作者:时间:2023-11-29浏览:10设置

报 告 人:朱湘禅 研究员

报告题目:Stochastic Navier-Stokes equations via convex integration

报告时间:2023年11月29日(周三)下午16:00-16:50

报告地点:腾讯会议:867-643-3509

主办单位:数学与统计学院、数学研究院、科学技术研究院

报告人简介:

       朱湘禅,中科院数学与系统科学研究院研究员,博士生导师。博士毕业于北京大学和德国比勒菲尔德大学,主要从事随机偏微分方程,随机分析和狄氏型理论等相关研究。目前已在Comm. Pure Appl. Math., J. Eur. Math. Soc., Ann. Probab.,  Probab., Theory Related Fields, Arch. Ration. Mech. Anal., Comm. Math. Phys., J. Funct. Anal., Trans. Amer. Math. Soc.等高水平期刊发表论文30余篇。

报告摘要:

       In this talk, I will talk about our recent work on the three dimensional stochastic Navier-Stokes equations via convex integration method. First we establish non-uniqueness in law, existence and non-uniqueness of probabilistically strong solutions and non-uniqueness of the associated Markov processes. Second we prove existence of infinitely many stationary solutions as well as ergodic stationary solutions to the stochastic Navier-Stokes and Euler equations. Third we obtain global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier–Stokes system driven by space-time white noise. In this setting, the convective term is ill-defined in the classical sense and probabilistic renormalization is required.



返回原图
/