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

  • Published In: ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2023, v. 57, n. 1. P. 69 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Georgiadis, Stefanos; Tzavaras, Athanasios E. 3 of 3

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). 2023/01, Vol. 57, Issue 1, p69
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2023
  • ISSN:2822-7840
  • DOI:10.1051/m2an/2022065
  • Accession Number:162236621
  • Copyright Statement:Copyright of ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN) is the property of EDP Sciences and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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