Remark on an improved regularity criterion for the 3D MHD equations

In this paper we investigate the regularity criterion for the local in time classical solution to the 3D incompressible magnetohydrodynamic equations. We prove that if del x u belongs to L-2(0, T; (B) over dot(infinity infinity)(-1)), then the local solution (u, B) can be extended beyond time T. As a consequence, this result extends several previous works. (C) 2014 Elsevier Ltd. All rights reserved.