Abstract
In this paper, some improved regularity criteria for the 3D viscous MHD equations are established in multiplier spaces. It is proved that if the velocity field satisfies
u is an element of L 2/1 - r (o, T, (X) over dot(r) (R-3)) with r is an element of [o, 1[,
or the gradient field of velocity satisfies
del u is an element of 2/2-gamma (0, T, (X)(gamma) (R-3)) with gamma is an element of [0, 1],
then the solution remains smooth on [0, T].