49 citations · 204 across the 31 of their papers we have counts for
37 papers
The -Operator and Uniqueness of Nonlinear Kinetic Equations
Ricardo Alonso, Maria Pia Gualdani, Weiran Sun
We introduce an -operator approach to establish the uniqueness of continuous or bounded solutions for a broad class of Landau-type nonlinear kinetic equations. The spe…
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…
Integrability propagation for a Boltzmann system describing polyatomic gas mixtures
Ricardo Alonso, Milana Pavić-Čolić
This paper explores the Lebesgue's integrability propagation, , of a system of space homogeneous Boltzmann equations modelling a multi-component mixture of…
The Cauchy problem for Boltzmann bi-linear systems: The mixing of monatomic and polyatomic gases
Ricardo J. Alonso, Irene M. Gamba, Milana Pavic-Colic
From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear syste…
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…