Véronique Bagland

collaborators

3 papers

math.AP2024

One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar $L^{1}$ -profiles for moderately hard potentials

R. Alonso, V. Bagland, J. A. Cañizo +2

We prove the stability of $L^{1}$ self-similar profiles under the hard-to-Maxwell potential limit for the one-dimensional inelastic Boltzmann equation with moderately hard potentia…

math.AP2024

Relaxation in Sobolev spaces and $L^{1}$ 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 $H^{s}$ Sobolev spaces. In addition, we present a spect…

math.AP2023

The Landau equation with moderate soft potentials: An approach using $ε$ -Poincaré inequality and Lorentz spaces

R. J. Alonso, V. Bagland, B. Lods

This document presents an elementary approach using $ε$ -Poincaré inequality to prove generation of $L^{p}$ -bounds, $p \in (1, \infty)$ , for the homogeneous Landau equation w…

One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar L1-profiles for moderately hard potentials

Relaxation in Sobolev spaces and L1 spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions

The Landau equation with moderate soft potentials: An approach using ε-Poincaré inequality and Lorentz spaces

One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar $L^{1}$ -profiles for moderately hard potentials

Relaxation in Sobolev spaces and $L^{1}$ spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions

The Landau equation with moderate soft potentials: An approach using $ε$ -Poincaré inequality and Lorentz spaces