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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 1, Pages 46–55 (Mi pmtf2337)  
Topography and dispersion effects in bottom layer dynamics

K. N. Gavrilova

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (264 kB)
Abstract: A hyperbolic model of a shallow water flow is considered with allowance for nonlinear and dispersion effects. The structure of traveling waves above a flat bottom is studied. Stability of small disturbances of a homogeneous flow and development of instability of a nonstationary flow above an inclined bottom are analyzed.
Keywords: shallow water equations, roll wave, homogeneous liquid, hyperbolic model with dispersion.
Received: 14.03.2003
Accepted: 22.04.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 1, Pages 37–44
DOI: https://doi.org/10.1023/B:JAMT.0000009172.77405.00
Bibliographic databases:
Document Type: Article
UDC: 532.59
Language: Russian
Citation: K. N. Gavrilova, “Topography and dispersion effects in bottom layer dynamics”, Prikl. Mekh. Tekh. Fiz., 45:1 (2004), 46–55; J. Appl. Mech. Tech. Phys., 45:1 (2004), 37–44
Citation in format AMSBIB
\Bibitem{Gav04}
\by K.~N.~Gavrilova
\paper Topography and dispersion effects in bottom layer dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 1
\pages 46--55
\mathnet{http://mi.mathnet.ru/pmtf2337}
\elib{https://elibrary.ru/item.asp?id=17249175}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 1
\pages 37--44
\crossref{https://doi.org/10.1023/B:JAMT.0000009172.77405.00}
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