Entropy production estimates for Boltzmann equations with physically realistic collision kernels
type: Item
instance of: scholarly article
title: Entropy production estimates for Boltzmann equations with physically realistic collision kernels
zbMATH Open document ID: 0831.76074
DOI: 10.1007/BF02188578
published in: Journal of Statistical Physics
publication date: 1995-09-11T00:00:00Z
review text: The paper extends some previous results obtained by the authors on strong uniform \(L^1\)-convergence to equilibrium in wide class of initial data, but with the realistic hard-sphere collision kernel in the present context. For this purpose, strict entropy production bounds for the Boltzmann equation are established. An exhaustive introduction plus different lemmas and theorems illustrate the importance of the uniformity in connexion with the study of the solutions to the spatially inhomogeneous Boltzmann equation.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 795352
zbMATH Keywords: strong uniform \(L(1)\)-convergence
zbMATH Keywords: hard-sphere collision
zbMATH Keywords: spatially inhomogeneous Boltzmann equation
author: Eric Carlen
author: Maria C. Carvalho
reviewed by: Vinicio C. Boffi
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02188578
OpenAlex ID: W1964257674
description: scientific article; zbMATH DE number 795352