Global Regularity of the Logarithmically Supercritical MHD System in Two-dimensional Space
Authors:
Min Cheng
Affiliation:
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China
Abstract:
In this paper, we study the global regularity of logarithmically supercritical MHD equations in $2$ dimensional, in which the dissipation terms are $-muLambda^{2alpha}u$ and $-numathcal{L}^{2beta} b$. We show that global regular solutions in the cases $01,3alpha+2beta>3$.