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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 3, Pages 55–65 (Mi pmtf1602)  
This article is cited in 1 scientific paper (total in 1 paper)

Three-vortex motion with zero total circulation

A. I. Gudimenko, A. D. Zakharenko

Pacific Oceanological Institute, Far East Division, Russian Academy of Sciences, Vladivostok, 690041, Russia
Full-text PDF (414 kB) Citations (1)
Abstract: Motion of three point vortices with zero total circulation in an ideal liquid is studied. Vortex trajectories are studied numerically over a wide range of their circulations at various initial positions. Asymptotics of vortex motions are calculated for configurations close to singular and collinear ones.
Keywords: point vortices, vortex dynamics, dynamic systems, asymptotic analysis, algebraic reduction.
Received: 19.05.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 3, Pages 343–352
DOI: https://doi.org/10.1007/s10808-010-0047-5
Bibliographic databases:
Document Type: Article
UDC: 517.928, 532.517.43, 532.527
Language: Russian
Citation: A. I. Gudimenko, A. D. Zakharenko, “Three-vortex motion with zero total circulation”, Prikl. Mekh. Tekh. Fiz., 51:3 (2010), 55–65; J. Appl. Mech. Tech. Phys., 51:3 (2010), 343–352
Citation in format AMSBIB
\Bibitem{GudZak10}
\by A.~I.~Gudimenko, A.~D.~Zakharenko
\paper Three-vortex motion with zero total circulation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 3
\pages 55--65
\mathnet{http://mi.mathnet.ru/pmtf1602}
\elib{https://elibrary.ru/item.asp?id=15285702}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 3
\pages 343--352
\crossref{https://doi.org/10.1007/s10808-010-0047-5}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1602
  • https://www.mathnet.ru/eng/pmtf/v51/i3/p55
    • This publication is cited in the following 1 articles:
    1. J. Chai, L. Fang, “Late dynamics of large-scale vortices in periodic two-dimensional flows”, Physics Letters A, 426 (2022), 127889  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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