Symmetries and solutions to equations of two-dimensional motions of polytropic gas

zbMath1150.76464MaRDI QIDQ2498121

A. S. Pavlenko

Publication date: 24 August 2006

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54788

zbMATH Keywords

exact solutionconservation lawsymmetriesLie group analysis of differential equations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Explicit solutions, first integrals of ordinary differential equations (34A05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (4)

Vortex scattering of monatomic gas along plane curves ⋮ Simple invariant solutions of the dynamic equation for a monatomic gas ⋮ Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates ⋮ Similarity transformations for modified shallow water equations with density dependence on the average temperature

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