Two regularity criteria to the 2D generalized MHD equations with zero magnetic diffusivity.

In this paper, two regularity criteria to the two-dimensional incompressible generalized magnetohydrodynamics equations with zero magnetic diffusivity are given. It is proved that the solution remains smooth on [0,T] provided that the current j×b satisfies 0Tj(.,t) L 2λpλp-1 4αλp(2α-1) p + 2 dt<∞ with 1<α<2, 12≤λ≤1, 2≤p≤2λ, or the vorticity w×u satisfies0w(t,.)BMOdt<∞ with 1<α<2. [ABSTRACT FROM AUTHOR]