GREEN'S FUNCTION AND THE POINTWISE BEHAVIORS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM  

作　　者：钟明溁 Mingying ZHONG(College of Mathematics and Information Sciences,Guangxi University,Nanning,530004,China)

机构地区：[1]College of Mathematics and Information Sciences,Guangxi University,Nanning,530004,China

出　　处：《Acta Mathematica Scientia》2023年第1期205-236,共32页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(11671100 and 12171104);the National Science Fund for Excellent Young Scholars(11922107);Guangxi Natural Science Foundation(2018GXNSFAA138210 and 2019JJG110010)。

摘　　要：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.

关 键 词：Vlasov-Poisson-Fokker-Planck system Green’s function pointwise behavior spectrum structure 

分 类 号：O17[理学—数学]