On the Interior Regularity Criterion for Suitable Weak Solutions to the 3D Magneto-Hydrodynamics Equations in Terms of the Velocity Gradient

被引：0

作者：

Liu, Qiao ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2023年 / 72卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Magneto-hydrodynamics equations; suitable weak solutions; interior regularity criterion; NAVIER-STOKES EQUATIONS; LOCAL REGULARITY;

D O I：

10.1512/iumj.2023.72.9600

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new interior regularity criterion for suitable weak solutions to the 3Dincompressiblemagneto-hydrodynamics (MHD) equations in terms of the velocity gradient only. The result yields that the velocity field plays a more important role than the magnetic field in the partial regularity theory of the 3D MHD equations, and can be viewed as an improved version of the Caffarelli-Kohn-Nirenberg criterion.

引用

页码：2191 / 2214

页数：24

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