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On regularity criteria for the 3D Hall-MHD equations in terms of the velocity
Journal article   Peer reviewed

On regularity criteria for the 3D Hall-MHD equations in terms of the velocity

Fangyi He, Bashir Ahmad, Tasawar Hayat and Yong Zhou
Nonlinear analysis: real world applications, Vol.32, pp.35-51
01/12/2016
DOI: https://doi.org/10.1016/j.nonrwa.2016.03.014

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we establish two new regularity criteria for the Hall-magnetohydrodynamics (Hall-MHD) system only in terms of the velocity field. By deriving a new system, it is proved that if the velocity field u does not blow up in finite time T, then the magnetic field B also remains regular up to time T. (C) 2016 Elsevier Ltd. All rights reserved.

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