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
TypeDocument de travail / Working paper
External document linkhttps://arxiv.org/abs/1906.11766
Series titleCahier de recherche CEREMADE, Université Paris-Dauphine
MetadataShow full item record
DIPARTIMENTO DI MATEMATICA, UNIVERSITÀ DI PARMA
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 / KeywordsMaxwell-Stefan system; Reaction-diffusion equations; Kinetic theory; Boltzmann equation; Polyatomic gas mixtures; Chemical reactions; Diffusive limit
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