报告人：刘双乾（华中师范大学）

邀请人：雷远杰

报告时间：2021年1月26日（星期二）14:00-16:00

报告地点：腾讯会议 ID：331 924 589

报告题目：The Navier-Stokes-Vlasov-Fokker-Planck system in bounded domains

报告摘要：This talk is concerned with the initial boundary value problem of the Vlasov-Fokker-Planck equation coupled with either the incompressible or compressible Navier-Stokes equations in a bounded domain. We will show the unique global existence and the exponential convergence rate to the equilibrium state under the Maxwell boundary condition for the incompressible case and specular reflection boundary condition for the compressible case, respectively.For the compressible model,to overcome the lack of regularity due to the coupling with the kinetic equation in bounded domain, an essential $L^{\frac{10}{3}}$ estimate is analyzed so that the a priori estimate can be closed by applying the $\CS_\CL^p$ theory developed by Guo et al. [Arch. Ration. Mech. Anal. 236(3): 1389--1454 (2020)]. This is a joint work with Prof. H.-L. Li and Prof. T. Yang.

报告人简介：刘双乾：教授，华中师范大学37000cm威尼斯，2009年博士毕业于武汉大学，主要研究方向为动理学方程及相关模型的数学理论。近五年先后在CPAM,ARMA,CMP,JFA等国际主流数学杂志发表论文数十篇。