Global weighted regularity for the 3D axisymmetric MHD equations

被引：1

作者：

Guo, Zhengguang ^{[1
]}

Wang, Yufei ^{[2
]}

Li, Yeping ^{[3
]}

机构：

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

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

[3] Nantong Univ, Sch Sci, Nantong 226019, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 04期

关键词：

MHD equations; Weighted regularity; Axisymmetric solutions; NAVIER-STOKES EQUATIONS; ONE CURRENT-DENSITY; ONE VELOCITY; WEAK SOLUTIONS; CRITERIA; SYSTEM; COMPONENT;

D O I：

10.1007/s00033-022-01815-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the three-dimensional axisymmetric incompressible magnetohydrodynamic (MHD) equations with nonzero swirl. By using symmetric properties of the Riesz transform and Hardy-Sobolev inequalities, we establish some new weighted regularity criteria via partial components of velocity and magnetic fields.

引用

页数：24

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