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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 4, Pages 3–9 (Mi pmtf2512)  
This article is cited in 1 scientific paper (total in 1 paper)

New steady and self-similar solutions of the euler equations

E. Yu. Meshcheryakova

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (285 kB) Citations (1)
Abstract: Exact steady and self-similar solutions of the Euler equations are considered, which possess the property of partial invariance with respect to a certain six-parameter Lie group. New examples of vortex motion of a swirled liquid in curved channels are presented. A classification is given for self-similar solutions of the reduced system with two independent variables, which admits a three-parameter group of extensions, whereas the initial system of the Euler equations possesses a two-parameter group.
Keywords: Euler equations, partially invariant solutions, streamlines, sources, drains.
Received: 30.12.2002
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 4, Pages 455–460
DOI: https://doi.org/10.1023/A:1024212004333
Bibliographic databases:
Document Type: Article
UDC: 532.511+517.9
Language: Russian
Citation: E. Yu. Meshcheryakova, “New steady and self-similar solutions of the euler equations”, Prikl. Mekh. Tekh. Fiz., 44:4 (2003), 3–9; J. Appl. Mech. Tech. Phys., 44:4 (2003), 455–460
Citation in format AMSBIB
\Bibitem{Mes03}
\by E.~Yu.~Meshcheryakova
\paper New steady and self-similar solutions of the euler equations
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 4
\pages 3--9
\mathnet{http://mi.mathnet.ru/pmtf2512}
\elib{https://elibrary.ru/item.asp?id=17274804}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 4
\pages 455--460
\crossref{https://doi.org/10.1023/A:1024212004333}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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