A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field

In this paper, we consider regularity criterion for solutions to the 3D viscous incompressible MHD equations in Morrey-Campanato spaces. It is proved that if the vorticity field omega = del x u belongs to (M) over dot(2), (3/r) for 0 < r <= 1 on [0, T], then the solution remains smooth on [0, T]. (C) 2009 Elsevier Ltd. All rights reserved.