On the Incompressible Navier-Stokes Equations and the Malliavin Calculus on $G={\rm SDiff}(M)$
发布时间：2024年01月22日
浏览次数：1318
发布者: He Liu
主讲人： Xiang-Dong Li(AMSS-CAS)
活动时间： 从 2024-01-30 14:00 到 15:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
In this talk, I will present a new derivation of the incompressible Navier-Stokes equations on a compact Riemannian manifold $M$ via the Bellman dynamical programming principle on the infinite dimensional group of volume-preserving diffeomorphisms $G={\rm SDiff}(M)$. Moreover, I will propose a probabilistic approach for the regularity issue of the incompressible NS equations by developing the Malliavin calculus on $G={\rm SDiff}(M)$. Joint with Guo-Ping Liu (HUST Wuhan).
