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The Maxwell-Stefan Diffusion Limit of a Hard-Sphere Kinetic Model for Mixtures

2020/04/23 by Benjamin Anwasia, Anwasia, Benjamin
Materials Science · Mathematics · Physics and Astronomy · #82B40 35Q20 35Q35 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Material Dynamics and Properties

paper · pdf · doi:10.48550/arxiv.2004.11079

openalex publication_date 2020/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a kinetic model for non-reactive mixtures of monatomic gases with hard-sphere cross-sections under isothermal condition. By considering a diffusive scaling of the kinetic model and using the method of moments, we formally obtain from the continuity and momentum balance equations of the species, in the limit as the scaling parameter goes to zero, the Maxwell-Stefan diffusion equations, with an explicit expression for the diffusion coefficients.

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