A variational approach to a fuzzy Boltzmann equation

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).

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Publication Details

Journal
Nonlinearity
Published
2025-04-29
DOI
https://doi.org/10.1088/1361-6544/adcb7e
Primary Topic
Numerical methods in inverse problems
Type
article
Field-Weighted Citation Impact
0.00

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article

A variational approach to a fuzzy Boltzmann equation

Zihui He, Matthias Erbar
Nonlinearity
Numerical methods in inverse problems
article

A variational approach to a fuzzy Boltzmann equation

Zihui He, Matthias Erbar
article en

Abstract

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).

NonlinearityVol. 38(5)
Bielefeld University (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 86%
Numerical methods in inverse problems
DOIOpen Access PDFOpenAlex
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A variational approach to a fuzzy Boltzmann equation — Zihui He, Matthias Erbar · Nonlinearity (2025) | TGRS Research Map | TGRS