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September  2016, 9(3): 443-453. doi: 10.3934/krm.2016002

## Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible 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, Hokkaido University, Sapporo, 060-0810, Japan

Received  April 2015 Revised  October 2015 Published  May 2016

In this paper we establish the uniform estimates of strong solutions with respect to the Mach number and the dielectric constant to the full compressible Navier-Stokes-Maxwell system in a bounded domain. Based on these uniform estimates, we obtain the convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations for well-prepared data.
Citation: Jishan Fan, Fucai Li, Gen Nakamura. Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. Kinetic & Related Models, 2016, 9 (3) : 443-453. doi: 10.3934/krm.2016002
##### References:

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##### References:
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