Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain

Jishan Fan; Fucai Li; Gen Nakamura

doi:10.3934/proc.2015.0387

Article Contents

2015, Volume 2015: 387-394. Doi: 10.3934/proc.2015.0387 open access

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Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain

1.
Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037
2.
Department of Mathematics, Nanjing University, Nanjing 210093
3.
Department of Mathematics, Inha University, Incheon 402-751

Received: June 30, 2014

Revised: December 31, 2014

Published: October 2015

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Abstract

In this paper we establish the global existence of strong solutions to the three-dimensional compressible magnetohydrodynamic equations in a bounded domain with small initial data. Moreover, we study the low Mach number limit to the corresponding problem.

Keywords:

Compressible magnetohydrodynamic equations,
global existence,
low Mach number limit.

Mathematics Subject Classification: Primary: 76W05; Secondary: 35B40.

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References

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