@article{HaackHauckKlingenbergetal.2021, author = {Haack, J. and Hauck, C. and Klingenberg, C. and Pirner, M. and Warnecke, S.}, title = {A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures}, series = {Journal of Statistical Physics}, volume = {184}, journal = {Journal of Statistical Physics}, number = {3}, issn = {1572-9613}, doi = {10.1007/s10955-021-02821-2}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-269146}, pages = {31}, year = {2021}, abstract = {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.}, language = {en} }