2 citations · 2 across the 3 of their papers we have counts for
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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…
The radiative transfer equation in the forward-peaked regime
Ricardo Alonso, Weiran Sun
In this work we study the radiative transfer equation in the forward-peaked regime in free space. Specifically, it is shown that the equation is well-posed by proving instantaneous…