26914
2021
eng
31
3
184
article
1
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A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
We 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.
Journal of Statistical Physics
1572-9613
10.1007/s10955-021-02821-2
34720185
urn:nbn:de:bvb:20-opus-269146
publish
Journal of Statistical Physics 2021, 184(3):31. DOI: 10.1007/s10955-021-02821-2
false
true
CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International
J. Haack
C. Hauck
C. Klingenberg
M. Pirner
S. Warnecke
eng
uncontrolled
plasma physics
eng
uncontrolled
multi-fluid mixture
eng
uncontrolled
kinetic model
eng
uncontrolled
BGK approximation
eng
uncontrolled
velocity-dependent collision frequency
eng
uncontrolled
entropy minimization
Physik
open_access
Institut für Mathematik
Universität Würzburg
https://opus.bibliothek.uni-wuerzburg.de/files/26914/Haack_Statistical.pdf