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A note on the inviscid limit of the incompressible MHD equations

Analysis of PDEs 2017-05-09 v2

Abstract

In this paper, we prove that as the viscosity and resistivity go to zero, the solution of the Cauchy problem for the incompressible MHD equations converges to the solution of the ideal MHD equations in the same topology with the initial data. Our proof mainly depends on the method introduced by the paper \cite{G.L.Y} and the constructions of the incompressible MHD equations.

Keywords

Cite

@article{arxiv.1612.04645,
  title  = {A note on the inviscid limit of the incompressible MHD equations},
  author = {Jinlu Li and Zhaoyang Yin},
  journal= {arXiv preprint arXiv:1612.04645},
  year   = {2017}
}

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