Low Mach number limit for the multi-dimensional Full magnetohydrodynamic equations

Details Low Mach number limit for the multi-dimensional Full magnetohydrodynamic equations Low Mach number limit for the multi-dimensional Full magnetohydrodynamic equations

2011-05-04

arxiv.org/abs/1105.0729v2

Nonlinearity 25 (2012),no.5, 1351-1365

Mathematics

Analysis of PDEs

19 pages. We revised our paper by following the referee's comments

Scientific paper

The low Mach number limit for the multi-dimensional full magnetohydrodynamic equations, in which the effect of thermal conduction is taken into account, is rigorously justified in the framework of classical solutions with small density and temperature variations. Moreover, we show that for sufficiently small Mach number, the compressible magnetohydrodynamic equations admit a smooth solution on the time interval where the smooth solution of the incompressible magnetohydrodynamic equations exists. In addition, the low Mach number limit for the ideal magnetohydrodynamic equations with small entropy variation is also investigated. The convergence rates are obtained in both cases.

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