Kinetic ES-BGK models for a multi-component gas mixture
Analysis of PDEs
2018-10-23 v1
Abstract
We consider a multi component mixture of inert gas in the kinetic regime by assuming that the total number of particles of each species remains constant. In this article we shall illustrate our model for the case of two species. To account for thermal effects, we extend a BGK model based on the presence of a collision term for each possible interaction \cite{Pirner} by including ES-BGK effects. We prove consistency of the extended model like conservation properties, positivity of all temperatures, H-theorem and convergence to a global equilibrium in the shape of a global Maxwell distribution.
Cite
@article{arxiv.1806.11488,
title = {Kinetic ES-BGK models for a multi-component gas mixture},
author = {Christian Klingenberg and Marlies Pirner and Gabriella Puppo},
journal= {arXiv preprint arXiv:1806.11488},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1806.09462, arXiv:1806.11486, arXiv:1806.11483