A consistent kinetic Fokker-Planck model for gas mixtures

Pirner, Marlies

Forschungsartikel (Zeitschrift) | Peer reviewed

Zusammenfassung

We propose a general multi-species Fokker–Planck model. We prove consistency of our model: conservation properties, positivity of all temperatures, H-Theorem and the shape of equilibrium as Maxwell distributions with the same mean velocity and temperature. Moreover, we derive the usual macroscopic equations from the kinetic two-species BGK model and compute explicitly the exchange terms of momentum and energy.

Details zur Publikation

FachzeitschriftJournal of Statistical Physics
Jahrgang / Bandnr. / Volume191
Ausgabe / Heftnr. / Issue11
Artikelnummer143
StatusVeröffentlicht
Veröffentlichungsjahr2024
DOI10.1007/s10955-024-03361-1
StichwörterFokker-Planck equation; mixtures; conservation properties, entropy inequality

Autor*innen der Universität Münster

Pirner, Marlies
Juniorprofessur für Angewandte Mathematik (Prof. Pirner)