On the normal solutions of the Boltzmann equation with small Knudsen number
type: Item
instance of: scholarly article
title: On the normal solutions of the Boltzmann equation with small Knudsen number
zbMATH Open document ID: 0629.76086
DOI: 10.1007/BF01021086
author: B. George
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: A singular perturbation method is used to find the normal solutions of the Boltzmann equation with small Knudsen number. It is proved that the secular terms may be removed by improving the Hilbert expansion and the Enskog expansion.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 4025045
zbMATH Keywords: singular perturbation method
zbMATH Keywords: normal solutions
zbMATH Keywords: Boltzmann equation with small Knudsen number
zbMATH Keywords: secular terms
zbMATH Keywords: Hilbert expansion
zbMATH Keywords: Enskog expansion
MaRDI profile type: Publication
cites work: Q4188958
cites work: A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
cites work: Q5842362
cites work: Secular Behavior in an Analysis of Damped Standing Waves in a Gas
cites work: Asymptotic Solution of the Boltzmann-Krook Equation for the Rayleigh Shear Flow Problem
full work available at URL: https://doi.org/10.1007/bf01021086
OpenAlex ID: W1988114339
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description: scientific article; zbMATH DE number 4025045