Global well-posedness for the 2D MHD equations with only vertical velocity damping term

被引：0
作者：
Long, Huan [1 ]
Ye, Suhui [1 ]
机构：
[1] Chengdu Univ Technol, Sch Math Sci, Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 12期
基金：
中国国家自然科学基金;
关键词：
magnetohydrodynamic equations; global solutions; Diophantine condition; MAGNETIC DIFFUSION; MAGNETOHYDRODYNAMIC SYSTEM; EXISTENCE;
D O I：
10.3934/math.20241725
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns two-dimensional (2D) incompressible magnetohydrodynamic (MHD) equations without magnetic diffusion with only vertical velocity damping term in the periodic domain. We prove the stability and decay rate for smooth solutions on perturbations near a background magnetic field of the system under the assumptions that the initial magnetic field satisfies the Diophantine condition.
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页码：36371 / 36384
页数：14
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