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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1998, Volume 39, Issue 4, Pages 50–53 (Mi pmtf3289)  
This article is cited in 1 scientific paper (total in 1 paper)

Some classes of two-dimensional stationary vortex structures in an ideal liquid

O. V. Kaptsov

Computer Center, Siberian Division, Russian Academy of Sciences, Krasnoyarsk 660036
Full-text PDF (301 kB) Citations (1)
Abstract: New types of plane stationary vortex formations in an ideal liquid are found. These structures are described by exact solutions of the equation for the stream function. This equation is the elliptical analog of the well-known Bullough–Dodd–Gibert–Shabat nonlinear wave equation. The Lyapunov stability of some of the solutions follows from Arnol'd's theorem.
Received: 18.11.1996
English version:
Journal of Applied Mechanics and Technical Physics, 1998, Volume 39, Issue 4, Pages 524–527
DOI: https://doi.org/10.1007/BF02471245
Document Type: Article
UDC: 532.5+517.958
Language: Russian
Citation: O. V. Kaptsov, “Some classes of two-dimensional stationary vortex structures in an ideal liquid”, Prikl. Mekh. Tekh. Fiz., 39:4 (1998), 50–53; J. Appl. Mech. Tech. Phys., 39:4 (1998), 524–527
Citation in format AMSBIB
\Bibitem{Kap98}
\by O.~V.~Kaptsov
\paper Some classes of two-dimensional stationary vortex structures in an ideal liquid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1998
\vol 39
\issue 4
\pages 50--53
\mathnet{http://mi.mathnet.ru/pmtf3289}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1998
\vol 39
\issue 4
\pages 524--527
\crossref{https://doi.org/10.1007/BF02471245}
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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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