Abstract

We consider the regularity criterion for the 3D magnetohydrodynamics (MHD) equations in Triebel-Lizorkin spaces. It is proved that if∇π∈L8p11p−12(0,T;F˙p,8p12−3p0(R3)), with1211<p<4,then the weak solution (u,b) becomes a regular solution on (0,T].

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