A variational approach to a fuzzy Boltzmann equation

2024/04/18 by Erbar, Matthias, He, Zihui · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.12032

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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• Entropy dissipation inequality for general binary collision models
• GENERIC formulation and small-angle limit for Kinetic wave equations
• The fuzzy Landau equation: global well-posedness and Fisher information

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