报告题目：Global quasi-neutral limit for plasma models

报 告 人：刘存明，曲阜师范大学 副教授

报告摘要：The quasi-neutral limit of one-fluid Euler-Poisson systems leads to incompressible Euler equations. It was widely studied in previous works. Here, we deal with the quasi-neutral limit in a two-fluid Euler-Poisson system. This limit presents a different feature since it leads to compressible Euler equations. We justify this limit for global smooth solutions near constant equilibrium states.  This result is based on uniform energy estimates with respect to the Debye length and the time. A key step in the proof is the control of the quasi-neutrality of the velocities of two-fluids. By the same method, we also prove the non-relativistic quasi-neutral limit for a two-fluid Euler-Maxwell system. These results were obtained in collaboration with Prof. Yue-Jun.Peng.

报告人简介：刘存明，曲阜师范大学，副教授。博士毕业于复旦大学数学系，研究方向为偏微分方程，特别在双曲型方程组及含有多个物理参数的等离子体数理模型的整体适定性、收敛极限等方面做了一些结果。主持、参与多项国家自然科学基金项目，在JDE、JMPA、SIMA、NA等杂志上发表多篇学术论文。

报告时间：2024年11月22日9:00-10:00

报告地点：文渊楼B536

主办单位：数学与统计学院