Regularity of the 90-velocity model of the Boltzmann equation
type: Item
instance of: scholarly article
title: Regularity of the 90-velocity model of the Boltzmann equation
zbMATH Open document ID: 0638.76089
author: Yasushi Shizuta
author: Machi Maeji
author: Akemi Watanabe
author: Shuichi Kawashima
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: The authors study discrete velocity models of the Boltzmann equation and establish the existence of various regular models that are invariant under the symmetry group \(G=A_ 5\times I\), where \(A_ 5\) is the icosahedron group and I is the group of order two generated by the central inversion. Here they show the regularity of the 90-velocity model and claim that a series of regular discrete models can be outlined by induction.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 20C35
zbMATH DE Number: 4041506
zbMATH Keywords: discrete velocity models
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: existence
zbMATH Keywords: regular models
zbMATH Keywords: symmetry group
zbMATH Keywords: icosahedron group
zbMATH Keywords: central inversion
zbMATH Keywords: regularity
zbMATH Keywords: regular discrete models
MaRDI profile type: Publication
full work available at URL: pjaa.62.171
OpenAlex ID: W2081550391
cites work: Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
cites work: The regularity of discrete models of the Boltzmann equation
cites work: The regular discrete models of the Boltzmann equation
cites work: On Cabannes' 32-velocity models of the Boltzmann equation
DOI: 10.3792/PJAA.62.171
description: scientific article; zbMATH DE number 4041506