Abstract
We consider the regularity criterion for the incompressible MHD equations. We show that the weak solution is regular, provided that(0.1)(∂3w+,∂3w−)∈L5r4r−6(0,T;Lr(R3)) with 4≤r≤∞, or(0.2)(∂3w+,∂3w−)∈L11r7r−12(0,T;Lr(R3)) with 52≤r≤4.
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