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

摘要

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.