学术报告(钟明溁 12.7)
Green's Function and the Pointwise Behaviors of the Vlasov-Poisson- Fokker-Planck System
发布人:杨晓静
发布日期:2022-12-04
主题
Green's Function and the Pointwise Behaviors of the Vlasov-Poisson- Fokker-Planck System
活动时间
-
活动地址
腾讯会议:461-255- 176
主讲人
钟明溁 教授 广西大学数学与信息科学学院
主持人
周玉龙
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 are studied in this paper. 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.