Regularity criteria for the 3d magnetic B\’enard
equations without thermal diffusion in terms of pressure
Abstract
In this paper, the authors obtain some new blow up criteria for the
smooth solution to the three dimensional magnetic
B\’enard equation without thermal diffusion in terms of
pressure. We prove that if $\pi\in
L^2(0, T; L^{\f3r}(\R^3))$
with $0
, 
