On a regularization of the magnetic gas dynamics system of equations

TL;DR

This paper introduces a specific regularization for the magnetic gas dynamics equations, ensuring nonnegative entropy production under certain conditions, which enhances the mathematical and physical consistency of the model.

Contribution

It provides a novel regularization method for magnetic gas dynamics equations applicable to general gas states, including derivations of entropy balance and production.

Findings

Entropy production rate is nonnegative with constant regularization parameter.

Derived entropy balance equations in two forms.

Applicable to systems with body forces and heat sources.

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.