A review on BGK models for gas mixtures of mono and polyatomic molecules
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- We consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but alsoWe consider the Bathnagar–Gross–Krook (BGK) model, an approximation of the Boltzmann equation, describing the time evolution of a single momoatomic rarefied gas and satisfying the same two main properties (conservation properties and entropy inequality). However, in practical applications, one often has to deal with two additional physical issues. First, a gas often does not consist of only one species, but it consists of a mixture of different species. Second, the particles can store energy not only in translational degrees of freedom but also in internal degrees of freedom such as rotations or vibrations (polyatomic molecules). Therefore, here, we will present recent BGK models for gas mixtures for mono- and polyatomic particles and the existing mathematical theory for these models.…
Autor(en): | Marlies Pirner |
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URN: | urn:nbn:de:bvb:20-opus-250161 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | Fluids |
ISSN: | 2311-5521 |
Erscheinungsjahr: | 2021 |
Band / Jahrgang: | 6 |
Heft / Ausgabe: | 11 |
Aufsatznummer: | 393 |
Originalveröffentlichung / Quelle: | Fluids (2021) 6:11, 393. https://doi.org/10.3390/fluids6110393 |
DOI: | https://doi.org/10.3390/fluids6110393 |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Freie Schlagwort(e): | BGK approximation; degrees of freedom in internal energy; existence of solutions; kinetic model; large-time behaviour; multi-fluid mixture |
Datum der Freischaltung: | 08.12.2022 |
Datum der Erstveröffentlichung: | 01.11.2021 |
Lizenz (Deutsch): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |