Open AccessAbout viscous approximations of the bitemperature Euler system
Author(s) -
Denise Aregba-Driollet,
Stéphane Brull
Publication year - 2019
Publication title -
communications in mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.743
H-Index - 50
eISSN - 1945-0796
pISSN - 1539-6746
DOI - 10.4310/cms.2019.v17.n4.a14
Subject(s) - humanities , political science , publics , library science , philosophy , computer science , law , politics
This paper is devoted to the study of the construction of a viscous approximation of the nonconservative bitemperature Euler system. Starting from a BGK model coupled with Ampère and Poisson equations proposed in [1], we perform a Chapman-Enskog expansion up to order 1 leading to a Navier-Stokes system. Next, we prove that this system is compatible with the entropy of the bitemperature Euler system.
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