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

Wendong Wang

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arXiv · 1407.1469

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

Wendong Wang

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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. 2014-07-06. Non blow-up criterion for the 3-D Magneto-hydrodynamics equations in the limiting case. https://arxiv.org/abs/1407.1469

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