Open Access Research

Blow-up criteria for smooth solutions to the generalized 3D MHD equations

Liping Hu1* and Yinxia Wang2

Author Affiliations

1 College of Information and Management Sciences, Henan Agricultural University, Zhengzhou, 450011, China

2 School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China

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Boundary Value Problems 2013, 2013:187  doi:10.1186/1687-2770-2013-187

Published: 21 August 2013

Abstract

In this paper, we focus on the generalized 3D magnetohydrodynamic equations. Two logarithmically blow-up criteria of smooth solutions are established.

MSC: 76D03, 76W05.

Keywords:
generalized MHD equations; blow-up criteria