12 citations · 29 across the 11 of their papers we have counts for
13 papers
One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar -profiles for moderately hard potentials
R. Alonso, V. Bagland, J. A. Cañizo +2
We prove the stability of self-similar profiles under the hard-to-Maxwell potential limit for the one-dimensional inelastic Boltzmann equation with moderately hard potentia…
Relaxation in Sobolev spaces and spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions
R. Alonso, V. Bagland, J. A. Cañizo +2
We study the dynamic relaxation to equilibrium of the 1D dissipative Boltzmann equation with Maxwell interactions in classical Sobolev spaces. In addition, we present a spect…
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…
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 Landau-Fermi-Dirac equation with moderately soft potentials
Ricardo Alonso, Véronique Bagland, Laurent Desvillettes +1
We present in this document some essential properties of solutions to the homogeneous Landau-Fermi-Dirac equation for moderately soft potentials. Uniform in time estimates for stat…
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…
Uniqueness of the self-similar profile for a kinetic annihilation model
Véronique Bagland, Bertrand Lods
We show the existence of a self-similar solution for a We prove the uniqueness of the self-similar profile solution for a modified Boltzmann equation describing probabilistic balli…
Existence of self-similar profile for a kinetic annihilation model
Véronique Bagland, Bertrand Lods
We show the existence of a self-similar solution for a modified Boltzmann equation describing probabilistic ballistic annihilation. Such a model describes a system of hard-spheres…