Global Smooth Solutions of MHD Equations with Large Data

In this paper, we establish the global existence of smooth solutions of the three-dimensional MHD system for a class of large initial data. Both the initial velocity and magnetic field can be arbitrarily large in the critical norm.

 

Professor Yi Zhou is the Yangtze River Scholar Distinguished Professor in School of Mathematical Sciences of Fudan University. His research interests are the nonlinear wave equations and other nonlinear partial differential equations from fluid mechanics.