Maxwell–Stefan diffusion asymptotics for gas mixtures in non-isothermal setting. (August 2017)

• Record Type: Journal Article
• Authors: Hutridurga, Harsha; Salvarani, Francesco
• Is Part Of: Nonlinear analysis. Volume 159(2017)
• Page Start: 285
• Page End: 297
• Publication Date: 2017-08
• Subjects: Maxwell–Stefan system -- Boltzmann equation -- Binary diffusion coefficients; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.03.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: A mathematical model is proposed where the classical Maxwell–Stefan diffusion model for gas mixtures is coupled to an advection-type equation for the temperature of the physical system. This coupled system is derived from first principles in the sense that the starting point of our analysis is a system of Boltzmann equations for gaseous mixtures. We perform an asymptotic analysis on the Boltzmann model under diffuse scaling to arrive at the proposed coupled system.