# Convergence to self-similarity for ballistic annihilation dynamics

@article{Alonso2020ConvergenceTS,
title={Convergence to self-similarity for ballistic annihilation dynamics},
author={Ricardo J. Alonso and V{\'e}ronique Bagland and Bertrand Lods and V{\'e}ronique Bagland},
journal={Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
year={2020}
}
• Published 17 April 2018
• Physics
• Journal de Mathématiques Pures et Appliquées
8 Citations

### A Kac Model for Kinetic Annihilation

• Mathematics, Physics
J. Nonlinear Sci.
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It is rigorously proved that, in some mean-field limit, a suitable hierarchy of kinetic equations is recovered for which tensorized solution to the homogenous Boltzmann with annihilation is a solution.

### Kinetic Description of a Rayleigh Gas with Annihilation

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Journal of Statistical Physics
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In this paper, we consider the dynamics of a tagged point particle in a gas of moving hard-spheres that are non-interacting among each other. This model is known as the ideal Rayleigh gas. We add to

### Fluid dynamic limit of Boltzmann equation for granular hard--spheres in a nearly elastic regime

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In this paper, we provide the first rigorous derivation of hydrodynamic equations from the Boltzmann equation for inelastic hard spheres with small inelasticity. The hydrodynamic system that we

### Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations

• Mathematics
Kinetic & Related Models
• 2019
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 uniformly

### Boundedness of meta-conformal two-point functions in one and two spatial dimensions

• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2020
Meta-conformal invariance is a novel class of dynamical symmetries, with dynamical exponent z = 1, and distinct from the standard ortho-conformal invariance. The meta-conformal Ward identities can be

### Inelastic Boltzmann equation driven by a particle thermal bath

<p style='text-indent:20px;'>We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient <inline-formula><tex-math

### A spectral study of the linearized Boltzmann operator in $L^2$-spaces with polynomial and Gaussian weights

<p style='text-indent:20px;'>The spectrum structure of the linearized Boltzmann operator has been a subject of interest for over fifty years and has been inspected in the space

### A Kac Model for Kinetic Annihilation

• Materials Science
Journal of Nonlinear Science
• 2020
In this paper, we consider the stochastic dynamics of a finite system of particles in a finite volume (Kac-like particle system) which annihilate with probability α∈(0,1)\documentclass[12pt]{minimal}

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