Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions
type: Item
instance of: scholarly article
title: Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions
zbMATH Open document ID: 1319.60041
author: Emanuele Dolera
author: Eugenio Regazzini
publication date: 2014-10-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/1206.5147
review text: The paper deals with the rate of convergence of the solution of the spatially homogeneous Boltzmann equation for Maxwellian molecules (SHBEMM). The authors derive an estimate of the best rate of relaxation to equilibrium. The main result is that, under some general conditions, the total variation distance between the solution (of the SHBEMM) and the Maxwellian distribution is bounded by an exponential with negative exponent. The proof is lengthy (it is a hard job) and works with ideas suggested by the central limit theorem in probability.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 6363144
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: Berry-Esseen inequalities
zbMATH Keywords: central limit theorem
zbMATH Keywords: Maxwellian molecules
zbMATH Keywords: random measure
Wikidata QID: Q123158363
reviewed by: Guy Jumarie
MaRDI profile type: Publication
OpenAlex ID: W2151994269
arXiv ID: 1206.5147
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Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions (DOI)
DOI: 10.1007/S00440-013-0530-Z

Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions (published in)
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete