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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 2, Pages 8–22 (Mi pmtf2124)  
This article is cited in 2 scientific papers (total in 2 papers)

Flows resulting from the incidence of a discontinuous wave on a bottom step

V. V. Ostapenko, A. A. Malysheva

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (285 kB) Citations (2)
Abstract: The solvability of the problem of the flows resulting from the incidence of a discontinuous wave on a bottom step is studied using a single-layer shallow water model. Solutions in which the total energy of the flow is conserved at the step and those in which it is lost at the step are considered. Regions of double and triple hystereses in the obtained self-similar solutions are found. An analogy is drawn with the problem of single-layer flow over a bottom obstacle.
Keywords: shallow water, discontinuous wave, bottom step.
Received: 29.12.2004
Accepted: 13.05.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 2, Pages 157–168
DOI: https://doi.org/10.1007/s10808-006-0038-8
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. V. Ostapenko, A. A. Malysheva, “Flows resulting from the incidence of a discontinuous wave on a bottom step”, Prikl. Mekh. Tekh. Fiz., 47:2 (2006), 8–22; J. Appl. Mech. Tech. Phys., 47:2 (2006), 157–168
Citation in format AMSBIB
\Bibitem{OstMal06}
\by V.~V.~Ostapenko, A.~A.~Malysheva
\paper Flows resulting from the incidence of a discontinuous wave on a bottom step
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 2
\pages 8--22
\mathnet{http://mi.mathnet.ru/pmtf2124}
\elib{https://elibrary.ru/item.asp?id=16515857}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 2
\pages 157--168
\crossref{https://doi.org/10.1007/s10808-006-0038-8}
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  • https://www.mathnet.ru/eng/pmtf/v47/i2/p8
    • 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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