BARANGER, Céline; BISI, Marzia; BRULL, Stéphane; DESVILLETTES, Laurent

doi:10.3934/krm.2018033

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BARANGER, Céline
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]

BISI, Marzia
Università degli studi di Parma = University of Parma [UNIPR]

BRULL, Stéphane
Institut de Mathématiques de Bordeaux [IMB]

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Kinetic and Related Models. 2018

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Resumen en inglés

In this paper, we propose a formal derivation of the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic gases. We use a direct extension of the model devised in [8, 16] for treating the internal energy with only one continuous parameter. This model is based on the Borgnakke-Larsen procedure [6]. We detail the dissipative terms related to the interaction between the gradients of temperature and the gradients of concentrations (Dufour and Soret effects), and present a complete explicit computation in one case when such a computation is possible, that is when all cross sections in the Boltzmann equation are constants.< Leer menos