A remarkable estimate for the solutions of the Boltzmann equation
type: Item
instance of: scholarly article
title: A remarkable estimate for the solutions of the Boltzmann equation
zbMATH Open document ID: 0762.35090
DOI: 10.1016/0893-9659(92)90065-H
published in: Applied Mathematics Letters
publication date: 1993-01-05T00:00:00Z
review text: The author proves a global (in time) a priori bound for a certain moment of classical solutions of the Boltzmann equation. This moment contains the collision kernel. The assumptions are that the solution is one- dimensional in space, and that the collision kernel satisfies certain cut off properties. The proof uses the collision invariants and the \(H\)- theorem.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 85876
zbMATH Keywords: moment of classical solutions
zbMATH Keywords: collision kernel
author: Carlo Cercignani
reviewed by: Horst Lange
MaRDI profile type: Publication
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full work available at URL: 0893-9659(92)90065-h
OpenAlex ID: W1981660530
description: scientific article; zbMATH DE number 85876