Analysis Seminar

Stability Analysis of the Relativistic Vlasov-Maxwell System

Speaker: Zhiyuan ZHANG

Location: Warren Weaver Hall 312

Date: Thursday, October 28, 2021, 11 a.m.


We consider the Relativistic Vlasov-Maxwell equation depicting plasma confined in a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, assuming axisymmetry in the problem. We prove a sharp criterion of spectral stability for a large family of equilibria, and provide several explicit families of stable/unstable equilibria using this criterion. Moreover, we consider the Vlasov-Poisson equation and construct a family of solutions with blow-up type behavior.