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Regularity criteria for the 3D MHD equations in term of velocity
Author(s) -
Bie Qunyi,
Wang Qiru,
Yao Zhengan
Publication year - 2015
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.3237
Subject(s) - magnetohydrodynamics , mathematics , term (time) , standard probability space , interpolation (computer graphics) , mathematical analysis , space (punctuation) , lebesgue integration , compressibility , anisotropy , classical mechanics , physics , mechanics , magnetic field , computer science , motion (physics) , quantum mechanics , operating system
In this paper, we consider three‐dimensional incompressible magnetohydrodynamics equations. By using interpolation inequalities in anisotropic Lebesgue space, we provide regularity criteria involving the velocity or alternatively involving the fractional derivative of velocity in one direction, which generalize some known results. Copyright © 2014 John Wiley & Sons, Ltd.