学术报告:Spectrum Analysis for the Vlasov-Poisson-Boltzmann System

发布时间:2021-11-20 浏览次数:306

报告人:钟明溁(广西大学)

报告时间:11月22日上午9:00--10:00

地点:线上 (腾讯会议ID:223 793 895)

报告题目:Spectrum Analysis for the Vlasov-Poisson-Boltzmann System

报告摘要: By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized Vlasov-Poisson-Boltzmann system around a global Maxwellian. It is shown  that the  electric field governed by the self-consistent Poisson equation plays a key role in the  analysis so that the spectrum structure is genuinely different from the well-known one of the Boltzmann equation. Based on this, we give the optimal time decay rates  of solutions to the equilibrium.

报告人简介:钟明溁,教授,博士生导师。主要研究带外力场的动理学方程的谱分析、格林函数和解的最优衰减速度、流体动力学极限等,在 Arch. Rational Mech. Anal., SIAM J. Math. Anal., Indiana Univ. Math. J.等国际著名数学期刊上发表论文10余篇。2019年获得国家自然科学基金优秀青年基金项目, 2020获得广西自然科学杰出青年基金项目。

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广西师范大学数学与统计学院

                                   2021年11月20日