A regularity criterion for 3D density-dependent MHD system with zero viscosity

Jishan Fan; Tohru Ozawa

doi:10.3934/proc.2015.0395

Article Contents

2015, Volume 2015: 395-399. Doi: 10.3934/proc.2015.0395 open access

This issue Previous Article Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain Next Article Existence and uniqueness of positive solutions for singular biharmonic elliptic systems

A regularity criterion for 3D density-dependent MHD system with zero viscosity

Jishan Fan^1, and
Tohru Ozawa^2,

1.
Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037
2.
Department of Applied Physics, Waseda University, Tokyo, 169-8555

Received: August 31, 2014

Revised: October 31, 2014

Published: October 2015

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Abstract

This paper proves a regularity criterion $\nabla u,\nabla b\in L^\infty(0,T;L^\infty)$ for 3D density-dependent MHD system with zero viscosity and positive initial density.

Keywords:

Mathematics Subject Classification: 35Q30, 76D03, 76D07.

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References

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