Abstract
This note establishes a Serrin-type blow-up criterion for local smooth solution to the 3D magnetic Bénard equations in terms of the corresponding pressure. More precisely, it is proved that for T>0, if P∈L22−r(0,T;L3r(R3)) with 0<r≤1, then the corresponding solution (u,b,θ) to the 3D magnetic Bénard equations can be extended beyond time t=T.
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