学术报告
Spectrum Structure and Behaviors of the Vlasov-Maxwell Boltzmann Systems-钟明溁 广西大学
报告题目：Spectrum Structure and Behaviors of the Vlasov-Maxwell Boltzmann Systems
报告人：钟明溁
单位：广西大学
报告时间：4月6日 15:50-16:30 地点：新教524
摘要：The spectrum structures and behaviors of the Vlasov-Maxwell Boltzmann (VMB) systems for both two species and one species are studied in this paper. The analysis shows the effect of the Lorentz force induced by the electro-magnetic field leads to some different structure of spectrum from the classical Boltzmann equation and the closely relate Vlasov-Poisson-Boltzmann system. And the significant difference between the two-species VMB model and one-species VMB model are given. The structure in high frequency illustrates the hyperbolic structure of the Maxwell equation. Furthermore, the long time behaviors and the optimal convergence rates to the equilibrium of the Vlasov-Maxwell Boltzmann systems for both two species and one species are established based on the spectrum analysis.
