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

Wendong Wang

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

Analysis of PDEs 2016-03-09 v2

Authors: Wendong Wang

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.

Keywords

magneto-hydrodynamics equations non blow-up criterion weak solution Ladyzhenskaya-Prodi-Serrin condition 3-D MHD regularity

Cite

@article{arxiv.1407.1469,
  title  = {Non blow-up criterion for the 3-D Magneto-hydrodynamics equations in the limiting case},
  author = {Wendong Wang},
  journal= {arXiv preprint arXiv:1407.1469},
  year   = {2016}
}

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