Author:
Haack J.,Hauck C.,Klingenberg C.,Pirner M.,Warnecke S.
Abstract
AbstractWe derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium.
Funder
Bayerische Forschungsallianz
Alexander von Humboldt-Stiftung
Austrian Science Fund
Los Alamos National Laboratory
Julius-Maximilians-Universität Würzburg
Oak Ridge National Laboratory
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
5 articles.
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