18 citations · 18 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials
Thomas Borsoni, Bertrand Lods
We provide the first quantitative result of convergence to equilibrium in the context of the spatially homogeneous Boltzmann-Fermi-Dirac equation associated to hard potentials inte…
Extending Cercignani's conjecture results from Botzmann to Boltzmann-Fermi-Dirac equation
Thomas Borsoni
We establish a connection between the relative Classical entropy and the relative Fermi-Dirac entropy, allowing to transpose, in the context of the Boltzmann or Landau equation, an…
Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
Thomas Borsoni, Laurent Boudin, Francesco Salvarani
In this paper, we investigate a compactness property of the linearized Boltzmann operator in the context of a polyatomic gas whose molecules undergo resonant collisions. The peculi…
A general framework for the kinetic modeling of polyatomic gases
Thomas Borsoni, Marzia Bisi, Maria Groppi
A general framework for the kinetic modelling of non-relativistic polyatomic gases is proposed,where each particle is characterized both by its velocity and by its internal state,…