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On a regularization of the magnetic gas dynamics system of equations

Analysis of PDEs 2025-12-30 v1 Fluid Dynamics

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 regularization parameter and under a standard condition on the heat source, we show that the entropy production rate is nonnegative.

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Cite

@article{arxiv.1211.3539,
  title  = {On a regularization of the magnetic gas dynamics system of equations},
  author = {Bernard Ducomet and Alexander Zlotnik},
  journal= {arXiv preprint arXiv:1211.3539},
  year   = {2025}
}

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13 pages