18 citations · 18 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…