25 citations · 203 across the 40 of their papers we have counts for
48 papers
Conditional integrability and stability for the homogeneous Boltzmann equation with very soft potentials
Ricardo J. Alonso, Pierre Gervais, Bertrand Lods
We introduce a practical criterion that justifies the propagation and appearance of -norms for the solutions to the spatially homogeneous Boltzmann equation with very soft p…
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…
The Landau equation with moderate soft potentials: An approach using -Poincaré inequality and Lorentz spaces
R. J. Alonso, V. Bagland, B. Lods
This document presents an elementary approach using -Poincaré inequality to prove generation of -bounds, , for the homogeneous Landau equation w…
A priori estimates for solutions to Landau equation under Prodi-Serrin like criteria
Ricardo Alonso, Véronique Bagland, Laurent Desvillettes +1
In this paper, we introduce Prodi-Serrin like criteria which enable to provide a priori estimates for the solutions to the spatially homogeneous Landau equation for all classical s…
Hydrodynamic limits for kinetic equations preserving mass, momentum and energy: a spectral and unified approach in the presence of a spectral gap
Pierre Gervais, Bertrand Lods
Triggered by the fact that, in the hydrodynamic limit, several different kinetic equations of physical interest all lead to the same Navier-Stokes-Fourier system, we develop in the…
One-dimensional inelastic Boltzmann equation: Regularity \& uniqueness of self-similar profiles for moderately hard potentials
Ricardo J. Alonso, Véronique Bagland, José A. Cañizo +2
We prove uniqueness of self-similar profiles for the one-dimensional inelastic Boltzmann equation with moderately hard potentials, that is with collision kernel of the form | $\bul…