Article Contents

2013, Volume 6, Issue 3: 533-543. Doi: 10.3934/krm.2013.6.533

This issue Previous Article Semi-classical models for the Schrödinger equation with periodic potentials and band crossings Next Article Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations

On a regularization of the magnetic gas dynamics system of equations

Bernard Ducomet^1, and
Alexander Zlotnik^2,

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: September 2013

Abstract / Introduction Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 76W05; Secondary: 76P05.

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References

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