A consistent kinetic Fokker-Planck model for gas mixtures

Pirner, Marlies

Research article (journal) | Peer reviewed

Abstract

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 about the publication

JournalJournal of Statistical Physics
Volume191
Issue11
Article number143
StatusPublished
Release year2024
DOI10.1007/s10955-024-03361-1
KeywordsFokker-Planck equation; mixtures; conservation properties, entropy inequality

Authors from the University of Münster

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