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Properties of an aggregated quasi-gasdynamic system of equations for a homogeneous gas mixture

Doklady Mathematics . 2021. Vol. 104. No. 3. P. 340–346.
Zlotnik A.A., Fedchenko A.S.

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 L^2 -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.

Research target: Mathematics
Language: English
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Keywords: the entropy balance equationquasi-gasdynamic system of equationsPetrovskii parabolicityL^2-dissipativityhomogeneous gas mixture
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