2022
DOI: 10.1002/mma.8214
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On properties of aggregated regularized systems of equations for a homogeneous multicomponent gas mixture

Abstract: Two aggregated regularized systems of equations for a multicomponent homogeneous gas mixture are considered. An entropy balance equation with a non‐negative entropy production is derived for them in the presence of diffusion fluxes. The existence, uniqueness and L2‐dissipativity of weak solutions to an initial‐boundary value problem for the systems linearized on a constant solution are established. The Petrovskii parabolicity and the local in time classical unique solvability of the Cauchy problem are also pro… Show more

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Cited by 5 publications
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