8 citations · 20 across the 4 of their papers we have counts for
4 papers
The incompressible Euler limit of the Boltzmann equation for a gas of fermions
Thibaut Allemand
We are interested in the hydrodynamic limit of the Boltzmann equation for a gas of fermions in the incompressible Euler regime. We use the relative entropy method as improved by Sa…
Existence and conservation laws for the Boltzmann-Fermi equation in a general domain
Thibaut Allemand
We prove an existence theorem for the Boltzmann-Fermi-Dirac equation for integrable collision kernels in possibly bounded domains with specular reflection at the boundaries, using…
The grazing collision limit of Kac caricature of Bose-Einstein particles
Thibaut Allemand, Giuseppe Toscani
We discuss the grazing collision limit of certain kinetic models of Bose-Einstein particles obtained from a suitable modification of the one- dimensional Kac caricature of a Maxwel…
Derivation of a two-fluids model for a Bose gas from a quantum kinetic system
Thibaut Allemand
We formally derive the hydrodynamic limit of a system modelling a bosons gas having a condensed part, made of a quantum kinetic and a Gross-Pitaevskii equation. The limit model, wh…