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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 103–115 (Mi smj10)  

This article is cited in 3 scientific papers (total in 3 papers)

Integration of the equations of gas dynamics for 2.5-dimensional solutions

M. A. Ignat'evaa, A. P. Chupakhinb

a Novosibirsk State University
b M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (219 kB) Citations (3)
References:
Abstract: We integrate the equations of gas dynamics in finite form for the solutions in which the thermodynamic parameters depend only on one spatial variable. The corresponding motion of gas represents the nonlinear superposition of the one-dimensional gas motion corresponding to the invariant system and the two-dimensional motion determined by noninvariant functions. These motions are called 2.5-dimensional. We reduce the invariant system to a first-order implicit ordinary differential equation. We study various solutions of the latter. We construct some continuous and discontinuous solutions to the equations of gas dynamics and give their physical interpretation.
Keywords: partially invariant solutions, equations of gas dynamics, implicit differential equations.
Received: 01.11.2005
Revised: 09.03.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 84–94
DOI: https://doi.org/10.1007/s11202-007-0010-8
Bibliographic databases:
UDC: 517.9+533
Language: Russian
Citation: M. A. Ignat'eva, A. P. Chupakhin, “Integration of the equations of gas dynamics for 2.5-dimensional solutions”, Sibirsk. Mat. Zh., 48:1 (2007), 103–115; Siberian Math. J., 48:1 (2007), 84–94
Citation in format AMSBIB
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\paper Integration of the equations of gas dynamics for 2.5-dimensional solutions
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\pages 103--115
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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