• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non- isothermal setting.

Anwasia, Benjamin; Bisi, Marzia; Salvarani, Francesco; Soares, Ana Jacinta (2019-06), On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non- isothermal setting.. https://basepub.dauphine.fr/handle/123456789/20060

View/Open
1906.11766(1).pdf (322.2Kb)
Type
Document de travail / Working paper
External document link
https://arxiv.org/abs/1906.11766
Date
2019-06
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Published in
Paris
Pages
32
Metadata
Show full item record
Author(s)
Anwasia, Benjamin

Bisi, Marzia
DIPARTIMENTO DI MATEMATICA, UNIVERSITÀ DI PARMA
Salvarani, Francesco
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Soares, Ana Jacinta
Abstract (EN)
In this article we deduce a mathematical model of Maxwell-Stefan type for a reactive mixture of polyatomic gases with a continuous structure of internal energy. The equations of the model are derived in the diffusive limit of a kinetic system of Boltzmann equations for the considered mixture, in the general non-isothermal setting. The asymptotic analysis of the kinetic system is performed under a reactive-diffusive scaling for which mechanical collisions are dominant with respect to chemical reactions. The resulting system couples the Maxwell-Stefan equations for the diffusive fluxes with the evolution equations for the number densities of the chemical species and the evolution equation for the temperature of the mixture. The production terms due to the chemical reaction and the Maxwell-Stefan diffusion coefficients are moreover obtained in terms of the collisional kernels and parameters of the kinetic model.
Subjects / Keywords
Maxwell-Stefan system; Reaction-diffusion equations; Kinetic theory; Boltzmann equation; Polyatomic gas mixtures; Chemical reactions; Diffusive limit

Related items

Showing items related by title and author.

  • Thumbnail
    On the Maxwell–Stefan diffusion limit for a mixture of monatomic gases 
    Hutridurga, Harsha; Salvarani, Francesco (2017) Article accepté pour publication ou publié
  • Thumbnail
    On the relaxation of the Maxwell–Stefan system to linear diffusion 
    Salvarani, Francesco; Soares, Ana Jacinta (2018) Article accepté pour publication ou publié
  • Thumbnail
    Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell–Stefan type 
    Hutridurga, Harsha; Salvarani, Francesco (2018) Article accepté pour publication ou publié
  • Thumbnail
    On a Nonlinear Parabolic Problem arising in the Quantum Diffusive Description of a Degenerate Fermion Gas 
    Barletti, Luigi; Salvarani, Francesco (2016) Article accepté pour publication ou publié
  • Thumbnail
    Mathematical and numerical study of a dusty Knudsen gas mixture 
    Charles, Fréderique; Salvarani, Francesco (2019) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo