10 citations · 17 across the 5 of their papers we have counts for
6 papers
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…
About the use of entropy production for the Landau-Fermi-Dirac equation
Ricardo J. Alonso, Véronique Bagland, Laurent Desvillettes +1
In this paper, we present new estimates for the entropy dissipation of the Landau-Fermi-Dirac equation (with hard or moderately soft potentials) in terms of a weighted relative Fis…
Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials
Ricardo Alonso, Véronique Bagland, Bertrand Lods
In this document we discuss the long time behaviour for the homogeneous Landau-Fermi-Dirac equation in the hard potential case. Uniform in time estimates for statistical moments an…
Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations
Ricardo J. Alonso, Véronique Bagland, Bertrand Lods
In this note we prove that, under some minimal regularity assumptions on the initial datum, solutions to the spatially homogenous Boltzmann and Landau equations for hard potentials…
Convergence to self-similarity for ballistic annihilation dynamics
Ricardo Alonso, Véronique Bagland, Bertrand Lods +1
We consider the spatially homogeneous Boltzmann equation for ballistic annihilation in dimension d 2. Such model describes a system of ballistic hard spheres that, at the moment of…
One dimensional dissipative Boltzmann equation: measure solutions, cooling rate and self-similar profile
Ricardo Alonso, Véronique Bagland, Yingda Cheng +1
This manuscript investigates the following aspects of the one dimensional dissipative Boltzmann equation associated to variable hard-spheres kernel: (1) we show the optimal cooling…