Non blow-up criterion for the 3-D Magneto-hydrodynamics equations in the limiting case

Published 6 Jul 2014 in math.AP | (1407.1469v2)

Abstract: In this paper, we prove that suitable weak solution $(u,b)$ of the 3-D MHD equations can be extended beyond $T$ if $u\in L^{\infty(0,T;L^{3(\R^3))$}} and the horizontal components $b_h$ of the magnetic field satisfies the well-known Ladyzhenskaya-Prodi-Serrin condition.

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Wendong Wang

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