Stability of the 3D incompressible MHD equations with horizontal dissipation in periodic domain

被引：2
|
作者：
Ji, Ruihong [1 ]
Tian, Ling [2 ]
机构：
[1] Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China
[2] Chengdu Univ Technol, Chengdu 610059, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 11期
基金：
中国国家自然科学基金;
关键词：
MHD equations; hydrostatic equilibrium; partial dissipation; stability; SYSTEM;
D O I：
10.3934/math.2021687
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability problem on the magnetohydrodynamics (MHD) equations with partial or no dissipation is not well-understood. This paper focuses on the 3D incompressible MHD equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the stability of perturbations near the steady solution given by a background magnetic field in periodic domain. The new stability result presented here is among few stability conclusions currently available for ideal or partially dissipated MHD equations.
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页码：11837 / 11849
页数：13
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