Refined regularity class of suitable weak solutions to the 3D magnetohydrodynamics equations with an application

被引：0
作者：
Yanqing Wang
Gang Wu
Daoguo Zhou
机构：
[1] Zhengzhou University of Light Industry,Department of Mathematics and Information Science
[2] University of Chinese Academy of Sciences,School of Mathematical Sciences
[3] Henan Polytechnic University,College of Mathematics and Informatics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2016年 / 67卷
关键词：
Magnetohydrodynamics equations; Suitable weak solutions; Regularity; 76D03; 76D05; 35B33; 35Q35;
D O I：
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摘要：
By means of blow-up method and the special structure of the 3D viscous magnetohydrodynamics equations, we derive some interior regularity criteria in terms of horizontal part of the velocity with sufficiently small local scaled norm and both the vertical part of the velocity and the magnetic field with bounded local scaled norm for the suitable weak solutions to this system. As an application, this allows us to improve the previous limiting case for the regularity criterion about the MHD equations.
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