English

A consistent kinetic Fokker-Planck model for gas mixtures

Analysis of PDEs 2024-09-25 v2

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.

Keywords

Cite

@article{arxiv.2403.18478,
  title  = {A consistent kinetic Fokker-Planck model for gas mixtures},
  author = {Marlies Pirner},
  journal= {arXiv preprint arXiv:2403.18478},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1806.09462