Multi-species kinetic models: GENERIC formulation and Fisher information
Analysis of PDEs
2026-02-11 v1
Abstract
In this paper, we study the GENERIC structures of multi-species spatially inhomogeneous Boltzmann and Landau equations with Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac statistics. In addition, under suitable assumptions on the collision kernels, we show that the Fisher information for the multi-species spatially homogeneous Boltzmann equation is non-increasing in time.
Keywords
Cite
@article{arxiv.2602.09875,
title = {Multi-species kinetic models: GENERIC formulation and Fisher information},
author = {Manh Hong Duong and Zihui He},
journal= {arXiv preprint arXiv:2602.09875},
year = {2026}
}