Regularity criteria of axisymmetric weak solutions to the 3D MHD equations

被引：6

作者：

Guo, Zhengguang ^{[1
]}

Wang, Yu ^{[1
]}

Li, Yeping ^{[2
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 12期

基金：

美国国家科学基金会;

关键词：

NAVIER-STOKES EQUATIONS; GLOBAL WELL-POSEDNESS; CONDITIONAL REGULARITY; SYSTEM; INEQUALITIES;

D O I：

10.1063/5.0065523

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the conditional regularity of axisymmetric weak solutions to the three-dimensional incompressible magnetohydrodynamic equations with non-zero swirl. Regularity criteria that are scaling invariant and independent of the components of magnetic field are obtained by establishing some innovative estimates.

引用

页数：13

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