On the regularity criteria for weak solutions to the magnetohydrodynamic equations

被引:137
作者
He, Cheng [1 ]
Wang, Yun [1 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
关键词
magnetohydrodynamics equations; regularity criteria;
D O I
10.1016/j.jde.2007.03.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic equations. Some regularity criteria are obtained for weak solutions to the magnetohydrodynamic equations, which generalize the results in [C. He, Z. Xin, On the regularity of solutions to the magneto-hydrodynamic equations, J. Differential Equations 213 (2) (2005) 235-254]. Our results reveal 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) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1 / 17
页数:17
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