Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation
type: Item
instance of: scholarly article
title: Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation
zbMATH Open document ID: 1173.76042
author: V. A. Dorodnitsyn
author: Alexander Bobylev
published in: Discrete and Continuous Dynamical Systems
publication date: 2009-05-05T00:00:00Z
review text: The authors develop the Lie group analysis for nonlinear kinetic equations. As a demonstration of their methods, they describe the admitted group of point symmetries of the Boltzmann equation by proving that all such symmetries are found in previous articles by the first author [Math. Models Methods Appl. Sci. 3, No.~4, 443--476 (1993; Zbl 0782.35078)] and by \textit{Yu. N. Grigoryev, S. V. Meleshko} and \textit{P. Sattayatham} [J. Phys. A, Math. Gen. 32, No.~28, L331--L343 (1999; Zbl 0962.82061)], and that there are no other symmetries.
reviewed by: I. A. Taimanov
Mathematics Subject Classification ID: 76M60
Mathematics Subject Classification ID: 76P05
zbMATH DE Number: 5550682
zbMATH Keywords: point symmetry
zbMATH Keywords: Lie group analysis
MaRDI profile type: Publication
full work available at URL: dcds.2009.24.35
OpenAlex ID: W1976923015
DOI: 10.3934/DCDS.2009.24.35
description: scientific article; zbMATH DE number 5550682