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Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Kinetisk teori)
Keldysh Institute of Applied Mathematics, Russian Academy of Science.
2009 (English)In: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, E-ISSN 1553-5231, Vol. 24, no 1, p. 35-57Article in journal (Refereed) Published
Abstract [en]

 In this paper we consider Lie group symmetries of evolutionequations with non-local operators in context of applications tononlinear kinetic equations. As an illustration we consider theBoltzmann equation and calculate the admitted group of pointtransformations.               
Place, publisher, year, edition, pages
American Institute of Mathematical Sciences, 2009. Vol. 24, no 1, p. 35-57
Keywords [en]
the Boltzmann equation, integral equations, Lie group analysis
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-11017DOI: 10.3934/dcds.2009.24.35OAI: oai:DiVA.org:kau-11017DiVA, id: diva2:494581
Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2025-10-16Bibliographically approved

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Publisher's full texthttp://www.aimsciences.org/journals/displayArticles.jsp?paperID=3931

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Bobylev, Alexander

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