Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 43–46 (Mi vmumm3491)  

This article is cited in 7 scientific papers (total in 8 papers)

Mathematics

Growth of the magnetic field in three-dimensional steady flow of incompressible fluid

V. I. Arnol'd, E. I. Korkina
Full-text PDF (577 kB) Citations (8)
Abstract: The paper describes a numerical experiment for determining the growth of a magnetic field in a three-dimensional flow with exponential particle dilatation at Reynolds numbers of the order of 60. In a certain range of Reynolds numbers, an exponential growth of the field is revealed, which changes to decay as the Reynolds numbers increase. The calculations are carried out by the Galerkin method taking into account approximately 20,000 harmonics.
Received: 26.11.1982
Bibliographic databases:
Document Type: Article
UDC: 538.4
Language: Russian
Citation: V. I. Arnol'd, E. I. Korkina, “Growth of the magnetic field in three-dimensional steady flow of incompressible fluid”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 43–46
Citation in format AMSBIB
\Bibitem{ArnKor83}
\by V.~I.~Arnol'd, E.~I.~Korkina
\paper Growth of the magnetic field in three-dimensional steady flow of incompressible fluid
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 3
\pages 43--46
\mathnet{http://mi.mathnet.ru/vmumm3491}
\zmath{https://zbmath.org/?q=an:0528.76112}
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  • https://www.mathnet.ru/eng/vmumm/y1983/i3/p43
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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