报告题目：  Global quasi-neutral limit of Euler-Maxwell systems

报告人：彭跃军   法国克莱蒙大学教授     博士生导师

摘    要： We consider smooth solutions to the Cauchy problem for an isentropic Euler-Maxwell system with small physical parameters. For initial data uniformly close to constant equilibrium states, we prove the global-in-time convergence of the system as the parameters go to zero. The limit systems are the e-MHD system or the incompressible Euler equations. The proof of the results relies on a single uniform energy estimate with respect to the time and the parameters, together with compactness arguments. For this purpose, the classical energy estimates for the symmetrizable hyperbolic system are not sufficient. We construct a Lyapunov type energy by controlling the divergence and rotation of the velocity, the electric and magnetic fields.

报告时间：2018年7月2日，上午：9:00-10:00

报告地点：数学学院三楼报告厅304室

报告人简介：彭跃军，法国克莱蒙大学教授，博士生导师。主要研究领域是偏微分方程理论与应用研究，在双曲方程组和等离子体模型做了突出的成果，已经发表80余篇SCI学术论文，多篇论文发表于国际权威期刊Communication in Partial Differential Equations,  SIAM Journal on Mathematical Analysis, Journal of Differential Equations, Journal de Mathématiques Pures et Appliquées.