Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Ronghua Pan,Georgia Institute of Technology
Inviter:	郝成春
Title:	Incompressible MHD Without Resistivity: Structure and Regularity
Language:	Chinese&English
Time & Venue:	2023.07.17 09:40-10:40 南楼N933
Abstract:	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.