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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 4, Pages 206–213 (Mi pmtf1940)  
This article is cited in 1 scientific paper (total in 1 paper)

Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow

V. M. Teshukov, A. K. Khe

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (185 kB) Citations (1)
Abstract: The long-wave equations describing three-dimensional shear wave motion of a free-surface ideal fluid are rearranged to a special form and used to describe discontinuous solutions. Relations at the discontinuity front are derived, and stability conditions for the discontinuity are formulated. The problem of determining the flow parameters behind the discontinuity front from known parameters before the front and specified velocity of motion of the front are investigated.
Keywords: vortex shallow water, hydraulic jump, integrodifferential equations.
Received: 22.08.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 4, Pages 693–698
DOI: https://doi.org/10.1007/s10808-008-0086-3
Bibliographic databases:
Document Type: Article
UDC: 533.6.011 + 517.948.34
Language: Russian
Citation: V. M. Teshukov, A. K. Khe, “Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 206–213; J. Appl. Mech. Tech. Phys., 49:4 (2008), 693–698
Citation in format AMSBIB
\Bibitem{TesKhe08}
\by V.~M.~Teshukov, A.~K.~Khe
\paper Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 4
\pages 206--213
\mathnet{http://mi.mathnet.ru/pmtf1940}
\elib{https://elibrary.ru/item.asp?id=11784363}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 4
\pages 693--698
\crossref{https://doi.org/10.1007/s10808-008-0086-3}
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  • https://www.mathnet.ru/eng/pmtf/v49/i4/p206
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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