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Extension criterion on regularity for weak solutions to the 3D MHD equations
Authors:Sadek Gala
Institution:Department of Mathematics, University of Mostaganem, Box 227, Mostaganem 27000, Algeria
Abstract:In this paper, we consider the regularity criteria for weak solutions to the 3D incompressible magnetohydrodynamic equations and prove some regularity criteria which are related only with u+B or u?B. This is an improvement of the result given by He and Wang (J. Differential Equations 2007; 238:1–17; Math. Meth. Appl. Sci. 2008; 31:1667–1684) and He and Xin (J. Differential Equations 2005; 213(2):235–254). Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:magneto‐hydrodynamic equations  multiplier space  weak solution  regularity criteria
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