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The anisotropic integrability regularity criterion to 3D magnetohydrodynamics equations
Author(s) -
Qian Chenyin
Publication year - 2017
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.4399
Subject(s) - mathematics , anisotropy , magnetohydrodynamics , generalization , mathematical analysis , component (thermodynamics) , lebesgue integration , magnetic field , pure mathematics , physics , quantum mechanics
In this article, we establish sufficient conditions for the regularity of solutions of 3D MHD equations in the framework of the anisotropic Lebesgue spaces. In particular, we obtain the anisotropic regularity criterion via partial derivatives, and it is a generalization of the some previous results. Besides, the anisotropic integrability regularity criteria in terms of the magnetic field and the third component of the velocity field are also investigated. Copyright © 2017 John Wiley & Sons, Ltd.