A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures
Please always quote using this URN: urn:nbn:de:bvb:20-opus-269146
- 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.
Author: | J. Haack, C. Hauck, C. Klingenberg, M. Pirner, S. Warnecke |
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URN: | urn:nbn:de:bvb:20-opus-269146 |
Document Type: | Journal article |
Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Language: | English |
Parent Title (English): | Journal of Statistical Physics |
ISSN: | 1572-9613 |
Year of Completion: | 2021 |
Volume: | 184 |
Issue: | 3 |
Pagenumber: | 31 |
Source: | Journal of Statistical Physics 2021, 184(3):31. DOI: 10.1007/s10955-021-02821-2 |
DOI: | https://doi.org/10.1007/s10955-021-02821-2 |
Pubmed Id: | https://pubmed.ncbi.nlm.nih.gov/34720185 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Tag: | BGK approximation; entropy minimization; kinetic model; multi-fluid mixture; plasma physics; velocity-dependent collision frequency |
Release Date: | 2022/06/13 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |