报告人：钟明溁 (广西大学)

邀请人：雷远杰

报告时间：2022年5月19日（星期四）15:00-16:30

报告地点：腾讯会议ID：451 962 868

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

报告摘要：The pointwise space-time behaviors of the Green's function and the global solution to the Vlasov-Poisson- Fokker-Planck (VPFP) system in spatial three dimension 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.

报告人简介：钟明溁，广西大学数学与信息科学学院教授，博士生导师。2012年于清华大学数学系获博士学位。主要研究带外力场的Boltzmann的谱分析、格林函数、解的大时间行为和流体动力学极限等问题。研究成果发表于Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、Indiana Univ. Math. J.等学术期刊。2019年获得国家级人才项目，2020被聘为广西大学“君武学者”。