Work

A variational approach to a fuzzy Boltzmann equation

Year: 2025

Type: article

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).

Source: Nonlinearity

DOI: 10.1088/1361-6544/adcb7e

Authors: Matthias Erbar, Zihui He

Institution: Bielefeld University

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: Deutsche Forschungsgemeinschaft