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Extension criterion on regularity for weak solutions to the 3D MHD equations
Author(s) -
Gala Sadek
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1263
Subject(s) - mathematics , magnetohydrodynamic drive , extension (predicate logic) , magnetohydrodynamics , compressibility , differential equation , mathematical analysis , plasma , physics , computer science , mechanics , quantum mechanics , programming language
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.
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