Regularity criteria for the 3D MHD equations via one directional derivative of the pressure

被引：16

作者：

Zhang, Zujin ^{[1
]}

Li, Peng ^{[2
]}

Yu, Gaohang ^{[1
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Magneto-hydrodynamic equations; Regularity criterion; Global regularity; a priori estimates; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; ONE-COMPONENT; TERMS;

D O I：

10.1016/j.jmaa.2012.11.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem for the 3D viscous MHD equations, and provide some regularity criteria involving only one directional derivative of the pressure, say partial derivative(3)p. In particular, if partial derivative(3)p is an element of L-alpha(0, T; L-beta(R-3)) with 2/alpha + 3/beta = 2, 3/2 <= beta <= 3, then the solution remains smooth on [0, T]. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

引用

页码：66 / 71

页数：6

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