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

Stefanos Georgiadis*, Athanasios E. Tzavaras

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)69-106
Number of pages38
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume57
Issue number1
DOIs
StatePublished - Jan 1 2023

Bibliographical note

Publisher Copyright:
© The authors. Published by EDP Sciences, SMAI 2023.

Keywords

  • Bott-Duffin inverse
  • Chapman-Enskog expansion
  • Euler flows
  • Hyperbolic-parabolic
  • Multicomponent systems
  • Non-isothermal model
  • Relative entropy

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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