报告题目：Green's Function and the Pointwise Behaviors of the Vlasov-Poisson-Fokker-Planck System

报告时间：2022-12-19  15:00 - 16:00

报告人：钟明溁 教授  广西大学

腾讯会议ID：886-226-657  会议密码：1219

报告链接：https://meeting.tencent.com/dm/F6N1wmd9H8Lr

报告摘要：In this talk, we study the pointwise space-time behaviors of the Green's function and the global solution to the Vlasov-Poisson- Fokker-Planck (VPFP) system in three dimensional space. It is shown that the Green's function consists of the diffusion waves decaying exponentially in time but algebraically in space, and the singular kinetic waves which become smooth for all (t,x,v) when t>0. Furthermore, we establish the pointwise space-time behaviors of the global solution to the nonlinear VPFP system when the initial data is not necessarily smooth in terms of the Green's function.