TY  - JOUR
A1  - Haack, J.
A1  - Hauck, C.
A1  - Klingenberg, C.
A1  - Pirner, M.
A1  - Warnecke, S.
T1  - A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
T2  - Journal of Statistical Physics
N2  - 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.
KW  - plasma physics
KW  - multi-fluid mixture
KW  - kinetic model
KW  - BGK approximation
KW  - velocity-dependent collision frequency
KW  - entropy minimization
Y1  - 2021
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/26914
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-269146
SN  - 1572-9613
VL  - 184
IS  - 3
ER  -