Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion

被引：7

作者：

Wang, Peng ^{[1
]}

Guo, Zhengguang ^{[2
,3
]}

机构：

[1] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China

[2] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China

[3] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China

来源：

NONLINEARITY | 2022年 / 35卷 / 05期

关键词：

MHD equations; global regularity; axisymmetric solutions; AXIALLY-SYMMETRIC FLOWS; WEAK SOLUTIONS; REGULARITY; SYSTEM; MAGNETOHYDRODYNAMICS;

D O I：

10.1088/1361-6544/ac62e1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the unique global strong axisymmetric solutions for the incompressible MHD equations with only vertical dissipation and vertical magnetic diffusion are established, where no smallness assumptions on the initial data are required. One of the key ingredients of the analysis is to obtain higher-order regularity estimates for velocity and magnetic fields, where the axisymmetry of the solutions and some new L (2) energy estimates play an important role.

引用

页码：2147 / 2174

页数：28

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