BMO and the regularity criterion for weak solutions to the magnetohydrodynamic equations

被引：13

作者：

Yun Wang ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 02期

关键词：

magnetohydrodynamic equations; regularity criteria;

D O I：

10.1016/j.jmaa.2006.05.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the regularity criterion for weak solutions to the incompressible magnetohydrodynamic equations. We derive the regularity of weak solutions in the marginal class. Moreover, our result demonstrates that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1082 / 1086

页数：5

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