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

2014/07/06 by Wendong Wang, Wang, Wendong
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1407.1469

arxiv created 2016/03/08 · arxiv updated 2016/03/09

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∈ L^∞(0,T;L³(\R³)) and the horizontal components b_h of the magnetic field satisfies the well-known Ladyzhenskaya-Prodi-Serrin condition.

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