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 -