Optimal systems of symmetry subalgebras for big models of gasdynamics
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Date
2002
Authors
Journal Title
Journal ISSN
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Publisher
Selcuk University Research Center of Applied Mathematics
Access Rights
info:eu-repo/semantics/openAccess
Abstract
For an arbitrary state equation the gasdynamics equations admit the 11-dimensional Lie algebra of transformations. But there are 13 special state equations for which the corresponding Lie algebra of transformations may be expanded. In this event we call the gasdynamics equations the big models. Some of the Lie algebras under consideration are similar to one another and the algebra structure may be different under further specialization of the state equation. It was noted that only two specializations of the state equation need to be added into consideration. In the paper we make a review of extensions for which the optimal systems of subalgebras may be found and calculate these optimal systems. Each of the extensions is presented as the semidirect sum of the Abelian 6-dimensional ideal and a subalgebra. The normalized optimal systems of these subalgebras are calculated.
Description
Keywords
Gasdynamics, State equation, Optimal systems of subalgebras, Gaz dinamiği, Durum denklemi, Alt cebirlerin optimal sistemleri
Journal or Series
Selcuk Journal of Applied Mathematics
WoS Q Value
Scopus Q Value
Volume
3
Issue
Citation
Khabirov, S. (2002). Optimal systems of symmetry subalgebras for big models of gasdynamics. Selcuk Journal of Applied Mathematics, 3 (2), 65-80.
