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

Yana Guo; Yan Jia; Bo-Qing Dong

doi:10.3934/dcds.2021141

Article Contents

2022, Volume 42, Issue 2: 885-902. Doi: 10.3934/dcds.2021141

This issue Previous Article Pure strictly uniform models of non-ergodic measure automorphisms Next Article The nonlocal-interaction equation near attracting manifolds

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
^* Corresponding author: Bo-Qing Dong

Received: April 2021

Revised: July 2021

Early access: September 2021

Published: February 2022

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Abstract

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.

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Mathematics Subject Classification: Primary: 35A05, 35Q35; Secondary: 76D03.

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References

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