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Invariant solution of dynamics of polytropic gas generated by three-dimensional algebras of symmetry

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Publication:2454496
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zbMath1299.76209MaRDI QIDQ2454496

A. I. Golod, Alexander P. Chupakhin

Publication date: 13 June 2014

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

Full work available at URL: http://semr.math.nsc.ru/v5/p229-250.pdf


zbMATH Keywords

invariant solutionalgebra of symmetrydynamics of polytropic gas


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Applications of Lie groups to the sciences; explicit representations (22E70) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)


Related Items (2)

Invariant solutions of the gas dynamics equations from 4-parameter three-dimensional subalgebras containing all translations in space and pressure translation ⋮ Two-dimensional gas vortices and twisted gas jets




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