偏微分方程研讨班：Incompressible MHD Without Resistivity: Structure and Regularity

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Prof. Ronghua Pan (Georgia Institute of Technology)

题  目：Incompressible MHD Without Resistivity: Structure and Regularity

时  间：2023. 07. 17（星期一)  9:40-10:40

地  点：数学院南楼N933

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.