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math.AP2025
Observability inequality for the von Neumann equation in crystals
Thomas Borsoni, Virginie Ehrlacher
We provide a quantitative observability inequality for the von Neumann equation on in the crystal setting, uniform in small . Following the method of Golse an…
math.FA2025
Metric convex extensions and optimal transport on classical and quantum structures
Thomas Borsoni
Convex roofs are natural ways to extend a scalar function defined on the extreme points of a convex set to the whole set. In this work we focus on the case for…
math.AP2025
A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes
Thomas Borsoni, Laurent Boudin, Julien Mathiaud +1
In this article, we extend the Boltzmann framework for polyatomic gases by introducing quasi-resonant kernels, which relax resonant interactions, for which kinetic and internal ene…