报告题目：Global Solutions of the Compressible Euler-Poisson Equations for Plasma with Doping Profile for Large Initial Data of Spherical Symmetry

报 告 人：袁迪凡，北京师范大学

报告摘要：We establish the global-in-time existence of solutions of finite relative-energy for the multidimensional compressible Euler-Poisson equations for plasma with doping profile for large initial data of spherical symmetry. Both the total initial energy and the initial mass are allowed to be unbounded, and the doping profile is allowed to be of large variation. This is achieved by adapting a class of degenerate density-dependent viscosity terms, so that a rigorous proof of the inviscid limit of global weak solutions of the Navier-Stokes-Poisson equations with the density-dependent viscosity terms to the corresponding global solutions of the Euler-Poisson equations for plasma with doping profile can be established. New difficulties arise when tackling the non-zero varied doping profile, which have been overcome by establishing some novel estimates for the electric field terms so that the neutrality assumption on the initial data is avoided. In particular, we prove that no concentration is formed in the inviscid limit for the finite relative-energy solutions of the compressible Euler-Poisson equations with large doping profiles in plasma physics.

报告人简介：袁迪凡博士2020年毕业于中科院数学与系统科学研究院，2018-2020年公派美国匹兹堡大学，目前任职于北京师范大学。先后在香港城市大学，意大利布雷西亚大学，英国牛津大学访问工作，主要研究流体力学方程数学理论，相关工作发表在CPAM,ARMA.JMPA等学术期刊。

报告时间：2023年12月20日 10:00-11:30

报告地点：文渊楼 B526

主办单位：伟德国际1946源自英国