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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 6, Pages 55–68 (Mi pmtf1972)  

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

Plane ovsyannikov vortex: Motion properties and exact solutions

S. V. Golovin

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (368 kB) Citations (3)
Abstract: The physical properties of ideal plasma flow described by the Ovsyannikov plane vortex are studied. The particle trajectories and magnetic lines are shown to be plane curves, and an algorithm for describing the motion in three-dimensional space is proposed. Some exact solutions of the submodel are obtained and studied.
Keywords: ideal magnetohydrodynamics, exact solutions, trajectories, magnetic lines, uniform deformation.
Received: 30.07.2007
Accepted: 05.09.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 6, Pages 934–945
DOI: https://doi.org/10.1007/s10808-008-0116-1
Bibliographic databases:
Document Type: Article
UDC: 533
Language: Russian
Citation: S. V. Golovin, “Plane ovsyannikov vortex: Motion properties and exact solutions”, Prikl. Mekh. Tekh. Fiz., 49:6 (2008), 55–68; J. Appl. Mech. Tech. Phys., 49:6 (2008), 934–945
Citation in format AMSBIB
\Bibitem{Gol08}
\by S.~V.~Golovin
\paper Plane ovsyannikov vortex: Motion properties and exact solutions
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 6
\pages 55--68
\mathnet{http://mi.mathnet.ru/pmtf1972}
\elib{https://elibrary.ru/item.asp?id=11665360}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 6
\pages 934--945
\crossref{https://doi.org/10.1007/s10808-008-0116-1}
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  • https://www.mathnet.ru/eng/pmtf/v49/i6/p55
  • 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
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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