20211110 钟明溁 Spectrum Analysis for the Vlasov-Poisson- Boltzmann System

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

报告人：钟明溁教授（广西大学）

邀请人：熊林杰

时间：11月10日15:00-16：00（北京时间）

腾讯会议：136 567 599（无密码）

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Boltzmann方程的谱分析和解的最优衰减速度、格林函数和解的逐点估计、流体动力学极限等问题，在 Arch. Rational Mech. Anal., SIAM J. Math. Anal., Indiana Univ. Math. J.等期刊上发表论文12篇。2019年获得国家自然科学基金优秀青年基金项目,2020获得广西自然科学基金杰出青年基金项目。