A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity

Jishan Fan; Fucai Li; Gen Nakamura

doi:10.3934/dcdsb.2018079

Article Contents

2018, Volume 23, Issue 4: 1757-1766. Doi: 10.3934/dcdsb.2018079

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A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity

1.
Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China
2.
Department of Mathematics, Nanjing University, Nanjing 210093, China
3.
Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

F. Li is the corresponding author
F. Li is the corresponding author

Received: July 31, 2016

Revised: September 30, 2017

Early access: March 2018

Published: April 2018

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Abstract

We establish a regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity and vacuum in a bounded domain.

Keywords:

Compressible magnetohydrodynamic equations,
zero heat conductivity,
regularity criterion.

Mathematics Subject Classification: Primary: 76W05; Secondary: 35Q60, 35B44.

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References

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