3 papers
math.AP2025
Passing to the limit in fuzzy Boltzmann equations
Matthias Erbar, Zihui He
We study a fuzzy Boltzmann equation, where collisions are delocalised and modulated by a spatial kernel. We show that as the spatial kernel converges to a delta distribution, the s…
math.AP2025
Gradient flow for a class of diffusion equations with Dirichlet boundary data
Matthias Erbar, Giulia Meglioli
In this paper we provide a variational characterisation for a class of non-linear evolution equations with constant non-negative Dirichlet boundary conditions on a bounded domain a…
math.AP2024
A variational approach to a fuzzy Boltzmann equation
Matthias Erbar, Zihui He
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 s…