Geodesic
Properties of an aggregated quasi-gasdynamic system of equations for a homogeneous gas mixture
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 501 (2021), pp. 31-37

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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.
Keywords: quasi-gasdynamic system of equations, homogeneous gas mixture, entropy balance equation, Petrovskii parabolicity, $L^2$-dissipativity. 
@article{DANMA_2021_501_a5,
     author = {A. A. Zlotnik and A. S. Fedchenko},
     title = {Properties of an aggregated quasi-gasdynamic system of equations for a homogeneous gas mixture},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {31--37},
     publisher = {mathdoc},
     volume = {501},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_501_a5/}
}
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A. A. Zlotnik; A. S. Fedchenko. Properties of an aggregated quasi-gasdynamic system of equations for a homogeneous gas mixture. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 501 (2021), pp. 31-37. http://geodesic.mathdoc.fr/item/DANMA_2021_501_a5/