Methods of group classification for relaxing gasdynamics

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Abstract

Group classification is the basic problem of the group analysis of differential equations with an arbitrary element. For the equations of the ideal gas dynamics with a state equation invariable on time the problem was solved by enumerating simplifications of the determining relations using equivalence transformations. For a state equation depending on time the exhaustive search is vast and it can be used optimal systems of subalgebras for the subalgebra extending the kernel of admitted algebras. Combination of the both methods solves the problem of the group classification for the relaxing gas dynamics.

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About the authors

S. V. Khabirov

Mavlyutov Institute of Mechanics UFRC RAS

Author for correspondence.
Email: habirov@anrb.ru
Russian Federation, Ufa

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