报告题目 (Title)：Incompressible MHD Without Resistivity: structure and regularity（无电阻率的不可压缩磁流体：结构与正则性）

报告人 (Speaker)：潘荣华 教授（美国佐治亚理工学院）

报告时间 (Time)：2023年10月10日(周二) 8:00

报告地点 (Place)：校本部F309、腾讯会议：740-996-867

邀请人(Inviter)：刘见礼

主办部门：理学院数学系

报告摘要：We study the global existence of classical solutions to the incompressible viscous MHD system without magnetic diffusion in 2D and 3D. The lack of resistivity or magnetic diffusion poses a major challenge to a global regularity theory even for small smooth initial data. However, the interesting nonlinear structure of the system not only leads to some significant challenges, but some interesting stabilization properties, that leads to the possibility of the theory of global existence of classical and/or strong solutions. This talk is based on joint works with Yi Zhou, Yi Zhu, Shijin Ding, Xiaoying Zeng, and Jingchi Huang.