Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion
Analysis of PDEs
2022-08-10 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2112.13625,
title = {Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion},
author = {Stefanos Georgiadis and Athanasios E. Tzavaras},
journal= {arXiv preprint arXiv:2112.13625},
year = {2022}
}