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

• 主讲人：Zhong Mingying
• 时间：Oct. 7, 2021 (20:00-21:00 Beijing time15:00-16:00 St Petersburg time)
• 地点：online

Abstract: 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. 

Bio: Zhong Mingying, Professor, College of Mathematics and Information Science, Guangxi University. Focus on the spectral analysis, Green's function and fluid dynamical limits of the kinetic equations with external force, such as the Vlasov-Poisson(Maxwell)-Boltzmann systems, and so on. Rewarded by National Natural Science Foundation--Outstanding Youth Foundation, 2019.