A variational approach to a fuzzy Boltzmann equation
Analysis of PDEs
2024-04-19 v1
Abstract
We study a fuzzy Boltzmann equation, where particles interact via delocalised collisions, in contrast to classical Boltzmann equations. We discuss the existence and uniqueness of solutions and provide a natural variational characterisation by casting the fuzzy Boltzmann equation into the framework of GENERIC systems (General Equations for Non-Equilibrium Reversible-Irreversible Coupling).
Cite
@article{arxiv.2404.12032,
title = {A variational approach to a fuzzy Boltzmann equation},
author = {Matthias Erbar and Zihui He},
journal= {arXiv preprint arXiv:2404.12032},
year = {2024}
}