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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 3, Pages 82–96 (Mi pmtf1743)  
This article is cited in 3 scientific papers (total in 3 papers)

Shallow water equations on a rotating attracting sphere. 2. Simple stationary waves and sound characteristics

A. A. Cherevko, A. P. Chupakhin

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (476 kB) Citations (3)
Abstract: This paper studies a model of shallow water on a rotating attracting sphere that describes large-scale motions of the planetary atmospheric gases and World ocean water. The propagation of sound perturbations on an equilibrium state is studied. The system of equations for bicharacteristics is integrated in elliptic functions. A description of simple stationary waves is given. It is proved that there exist two types of solutions (supercritical and subcritical) describing gas motion in a spherical zone, so that one of the boundary parallels is a source and the other is a sink. The obtained solutions are interpreted as large-scale circulating cells in the atmosphere.
Keywords: shallow water, motions on sphere, stationary solutions, propagation of sound perturbations, circulating cells.
Received: 29.10.2007
Accepted: 04.04.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 3, Pages 428–440
DOI: https://doi.org/10.1007/s10808-009-0057-3
Bibliographic databases:
Document Type: Article
UDC: 532.5+533+517.9
Language: Russian
Citation: A. A. Cherevko, A. P. Chupakhin, “Shallow water equations on a rotating attracting sphere. 2. Simple stationary waves and sound characteristics”, Prikl. Mekh. Tekh. Fiz., 50:3 (2009), 82–96; J. Appl. Mech. Tech. Phys., 50:3 (2009), 428–440
Citation in format AMSBIB
\Bibitem{CheChu09}
\by A.~A.~Cherevko, A.~P.~Chupakhin
\paper Shallow water equations on a rotating attracting sphere. 2.~Simple stationary waves and sound characteristics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 3
\pages 82--96
\mathnet{http://mi.mathnet.ru/pmtf1743}
\elib{https://elibrary.ru/item.asp?id=11928584}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 3
\pages 428--440
\crossref{https://doi.org/10.1007/s10808-009-0057-3}
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  • https://www.mathnet.ru/eng/pmtf/v50/i3/p82
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    Citing articles in Google Scholar: Russian citations, English citations
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