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On the Maxwell–Stefan diffusion limit for a mixture of monatomic gases
Author(s) -
Hutridurga Harsha,
Salvarani Francesco
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4013
Subject(s) - limit (mathematics) , cutoff , monatomic gas , diffusion , physics , binary number , boltzmann equation , monatomic ion , scaling , thermodynamics , statistical physics , mathematical physics , classical mechanics , mathematics , mathematical analysis , quantum mechanics , geometry , arithmetic
Multi‐species Boltzmann equations for gaseous mixtures, with analytic cross sections and under Grad's angular cutoff assumption, are considered under diffusive scaling. In the limit, we formally obtain an explicit expression for the binary diffusion coefficients in the Maxwell–Stefan equations. Copyright © 2016 John Wiley & Sons, Ltd.