American Institute of Mathematical Sciences

February  2022, 42(2): 885-902. doi: 10.3934/dcds.2021141

Global stability solution of the 2D MHD equations with mixed partial dissipation

 1 Institutes of Physical Science and Information Technology, Anhui University, Hefei 230601, China 2 School of Mathematical Science, Anhui University, Hefei 230601, China 3 College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China

* Corresponding author: Bo-Qing Dong

Received  April 2021 Revised  July 2021 Published  February 2022 Early access  September 2021

This paper is devoted to understanding the global stability of perturbations near a background magnetic field of the 2D magnetohydrodynamic (MHD) equations with partial dissipation. We establish the global stability for the solutions of the nonlinear MHD system by the bootstrap argument.

Citation: Yana Guo, Yan Jia, Bo-Qing Dong. Global stability solution of the 2D MHD equations with mixed partial dissipation. Discrete & Continuous Dynamical Systems, 2022, 42 (2) : 885-902. doi: 10.3934/dcds.2021141
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