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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2015, Volume 101, Issue 7, Pages 490–495
DOI: https://doi.org/10.7868/S0370274X15070048 (Mi jetpl4592) 		 
This article is cited in 2 scientific papers (total in 2 papers)

PLASMA, HYDRO- AND GAS DYNAMICS

Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density

V. P. Goncharova, V. I. Pavlovb

a Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017, Russia
b UFR des Mathématiques Pures et Appliquées – LML CNRS UMR 8107, Université de Lille 1, 59655, Villeneuve d’Ascq, France
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DOI: https://doi.org/10.7868/S0370274X15070048
Abstract: A model of an active layer of shallow water with horizontally nonuniform density has been developed in the nonhydrostatic approximation. Rayleigh–Taylor instability regimes, as well as the mechanism of the formation of self-similar jets (fingers), have been studied within this model. Their linear stability has been analyzed. It has been shown that nonhydrostaticity decisively affects instability at the final stage. For this reason, collapse predicted for hydrostatic models at this stage slows down and is transformed to the algebraic instability regime.
Received: 24.11.2014
Revised: 24.02.2015
English version:
Journal of Experimental and Theoretical Physics Letters, 2015, Volume 101, Issue 7, Pages 438–443
DOI: https://doi.org/10.1134/S0021364015070097
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Goncharov, V. I. Pavlov, “Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:7 (2015), 490–495; JETP Letters, 101:7 (2015), 438–443
Citation in format AMSBIB
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\by V.~P.~Goncharov, V.~I.~Pavlov
\paper Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2015
\vol 101
\issue 7
\pages 490--495
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\crossref{https://doi.org/10.7868/S0370274X15070048}
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\transl
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  • https://www.mathnet.ru/eng/jetpl4592
  • https://www.mathnet.ru/eng/jetpl/v101/i7/p490
    • This publication is cited in the following 2 articles:
    1. V. P. Goncharov, V. I. Pavlov, J. Exp. Theor. Phys., 126:2 (2018), 276–283  crossref  isi  scopus
    2. Goncharov V.P., Pavlov V.I., Phys. Plasmas, 23:8 (2016), 082117  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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    Full-text PDF :56
    References:56
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