Regularity criteria for weak solution to the 3-d magnetohydrodynamic equations

Yu-Zhu Wang^*, Juan Zhao, Yin-Xia Wang

ABSTRACT: In this paper, regularity criteria for the 3D magnetohydrodynamic equations are investigated. Some regularity criteria which are related only with u+B or u−B in multiplier spaces M(Ḃ^r_2,1,L²) are obtained.

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College of Mathematics and Information Science, North China University of Water Resources and Electric Power, ZhengZhou 450011, China

* Corresponding author, E-mail: yuzhu108@163.com

Received 5 Sep 2011, Accepted 6 Dec 2011

Regularity criteria for weak solution to the 3-d magnetohydrodynamic equations

Yu-Zhu Wang*, Juan Zhao, Yin-Xia Wang

Yu-Zhu Wang^*, Juan Zhao, Yin-Xia Wang