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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 5, Pages 27–38 (Mi pmtf1519)  
This article is cited in 2 scientific papers (total in 2 papers)

Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: First approximation

P. E. Karabut, V. V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosobirsk, 630090, Russia
Full-text PDF (276 kB) Citations (2)
Abstract: A method is proposed for the approximate solution of the problem of the decay of a small-amplitude discontinuity in the case of a strictly hyperbolic system of conservation laws which has linearly degenerate characteristic fields. The method is used to analyze the qualitatively different flow regimes occurring in the solution of the problem of the decay of a small-amplitude discontinuity for two-layer shallow water model with a free upper boundary. The most detailed study is made for the special case – the dam-break problem.
Keywords: two-layer shallow water, discontinuity decay problem, dam-break problem, hyperbolic systems, method of successive approximations.
Received: 22.03.2010
Accepted: 27.09.2010
English version:
Journal of Applied Mechanics and Technical Physics, 2011, Volume 52, Issue 5, Pages 698–708
DOI: https://doi.org/10.1134/S0021894411050038
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: P. E. Karabut, V. V. Ostapenko, “Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: First approximation”, Prikl. Mekh. Tekh. Fiz., 52:5 (2011), 27–38; J. Appl. Mech. Tech. Phys., 52:5 (2011), 698–708
Citation in format AMSBIB
\Bibitem{KarOst11}
\by P.~E.~Karabut, V.~V.~Ostapenko
\paper Problem of the decay of a small-amplitude discontinuity in two-layer shallow water: First approximation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 5
\pages 27--38
\mathnet{http://mi.mathnet.ru/pmtf1519}
\elib{https://elibrary.ru/item.asp?id=17255697}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 5
\pages 698--708
\crossref{https://doi.org/10.1134/S0021894411050038}
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  • https://www.mathnet.ru/eng/pmtf/v52/i5/p27
    • This publication is cited in the following 2 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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