Incompressible limit of non-isentropic ideal MHD for a perfect conductor

：章俊彦（新加坡国立大学）
：2024-10-31 08:40
：海韵园行政楼C503

报告人：章俊彦（新加坡国立大学）

时  间：2024年10月31日8:40

地  点：海韵园行政楼C503

内容摘要:

We consider compressible non-isentropic ideal MHD equations in half space with a perfectly conducting boundary. We prove the incompressible limit for the fixed-domain problem with general initial data. The key observation is a special structure of Lorentz force in vorticity analysis, which motivates us to establish uniform energy estimates in anisotropic Sobolev spaces with suitable weights of Mach number. Based on this observation and some techniques in free-boundary problems, we can also prove the incompressible limit of current-vortex sheets with or without surface tension. The talk is based on the joint work with Prof. Qiangchang Ju (IAPCM) and Dr. Jiawei Wang (AMSS, CAS).

个人简介：

章俊彦，新加坡国立大学数学系Peng Tsu Ann访问助理教授。2017年本科毕业于中国科学技术大学，2022年博士毕业于约翰霍普金斯大学。研究方向为流体偏微分方程中的自由边界问题和奇异极限问题，主要论文发表在ARMA, JMPA, SIMA, CVPDE等期刊。

 

联系人：王焰金