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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 1098–1109 (Mi smj1234)  
This article is cited in 3 scientific papers (total in 3 papers)

Symmetry of the barochronous motions of a gas

L. V. Ovsyannikov

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (201 kB) Citations (3)
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Abstract: We study the system of nonlinear differential equations which expresses the constancy of the algebraic invariants of the Jacobian matrix for smooth vector fields in three-dimensional space. This system is equivalent to the equations of gas dynamics which describe the barochronous motions of a gas (the pressure and density depend only on the time). We present the results of computation of the admissible local Lie group and construction of the general solution of the system. We mention a few new problems that arise here.
Keywords: admissible local Lie group of transformations, algebra of Lie operators, equivalence, general solution.
Received: 09.07.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 5, Pages 857–866
DOI: https://doi.org/10.1023/A:1025945021678
Bibliographic databases:
UDC: 517.994
Language: Russian
Citation: L. V. Ovsyannikov, “Symmetry of the barochronous motions of a gas”, Sibirsk. Mat. Zh., 44:5 (2003), 1098–1109; Siberian Math. J., 44:5 (2003), 857–866
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\issue 5
\pages 857--866
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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