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Properties of an Aggregated Quasi-Gasdynamic System of Equations for a Homogeneous Gas Mixture

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Abstract

For an aggregated quasi-gasdynamic system of equations for a homogeneous gas mixture, we give an entropy balance equation with a nonnegative entropy production in the presence of diffusion fluxes. We also derive the existence, uniqueness, and L2-dissipativity of weak solutions to an initial-boundary value problem for the system linearized at a constant solution. Additionally, the Petrovskii parabolicity and local-in-time classical unique solvability of the Cauchy problem for the quasi-gasdynamic system itself are established.

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Funding

This work was supported by the Russian Science Foundation, project no. 19-11-00169.

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Authors and Affiliations

  1. Higher School of Economics University, 109028, Moscow, Russia

    A. A. Zlotnik & A. S. Fedchenko

  2. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    A. A. Zlotnik

Authors
  1. A. A. Zlotnik
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  2. A. S. Fedchenko
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Corresponding authors

Correspondence to A. A. Zlotnik or A. S. Fedchenko.

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The authors declare that they have no conflicts of interest.

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Translated by I. Ruzanova

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Zlotnik, A.A., Fedchenko, A.S. Properties of an Aggregated Quasi-Gasdynamic System of Equations for a Homogeneous Gas Mixture. Dokl. Math. 104, 340–346 (2021). https://doi.org/10.1134/S1064562421060193

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  • DOI: https://doi.org/10.1134/S1064562421060193

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