A proof of the smoothing properties of the positive part of Boltzmann's kernel
type: Item
instance of: scholarly article
title: A proof of the smoothing properties of the positive part of Boltzmann's kernel
zbMATH Open document ID: 0912.45014
DOI: 10.4171/RMI/233
author: François Bouchut
author: Laurent Desvillettes
published in: Revista Matemática Iberoamericana
publication date: 1999-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/39550
review text: The Boltzmann quadratic kernel is a nonlinear operator modelling binary collisions occurring in a rarefied monoatomic gas. The authors prove smoothing properties and obtain corresponding estimates for the quadratic positive part of this operator for two types of its (functional) kernel.
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 1203673
zbMATH Keywords: integral operator
zbMATH Keywords: nonlinear operator
zbMATH Keywords: Sobolev space
zbMATH Keywords: Boltzmann quadratic kernel
zbMATH Keywords: rarefied monoatomic gas
zbMATH Keywords: nonlinear Boltzmann equation
reviewed by: Vladimir S. Pilidi
MaRDI profile type: Publication
OpenAlex ID: W1963966787
description: scientific article; zbMATH DE number 1203673