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September  2013, 6(3): 533-543. doi: 10.3934/krm.2013.6.533

## On a regularization of the magnetic gas dynamics system of equations

 1 CEA, DAM, DIF, F-91297 Arpajon 2 Department of Mathematics at Faculty of Economics Sciences, National Research University Higher School of Economics, Myasnitskaya 20, 101000 Moscow

Received  August 2012 Revised  January 2013 Published  May 2013

A brief derivation of a specific regularization for the magnetic gas dynamic system of equations is given in the case of general equations of gas state (in presence of a body force and a heat source). The entropy balance equation in two forms is also derived for the system. For a constant magnetic regularization parameter and under a standard condition on the heat source, we show that the entropy production rate is nonnegative.
Citation: Bernard Ducomet, Alexander Zlotnik. On a regularization of the magnetic gas dynamics system of equations. Kinetic & Related Models, 2013, 6 (3) : 533-543. doi: 10.3934/krm.2013.6.533
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