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arXiv · 2112.13625

Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion

Stefanos Georgiadis·Athanasios E. Tzavaras
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Abstract

A Type-I model of a multicomponent system of fluids with non-constant temperature is derived as the high-friction limit of a Type-II model via a Chapman-Enskog expansion. The asymptotic model is shown to fit into the general theory of hyperbolic-parabolic systems, by exploiting the entropy structure inherited through the asymptotic procedure. Finally, by deriving the relative entropy identity for the Type-I model, two convergence results for smooth solutions are presented, from the system with mass-diffusion and heat conduction to the corresponding system without mass-diffusion but including heat conduction and to its hyperbolic counterpart.

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Stefanos Georgiadis, Athanasios E. Tzavaras. 2021-12-27. Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion. https://arxiv.org/abs/2112.13625

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