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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 113–136
DOI: https://doi.org/10.15372/PMTF20190210 (Mi pmtf464) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Internal and inertial wave attractors (review)

I. N. Sibgatullinabc, E. V. Yermanyukd

a Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, 117997, Russia
b Ivannikov Institute for System Programming, Russian Academy of Sciences, Moscow, 109004, Russia
c Lomonosov Moscow State University, Moscow, 119991, Russia
d Lavrentev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (1475 kB) Citations (23)
DOI: https://doi.org/10.15372/PMTF20190210
Abstract: This paper presents a review of theoretical, experimental, and numerical studies of geometric attractors of internal and/or inertial waves in a stratified and/or rotating fluid. The dispersion relation for such waves defines the relationship between the frequency and direction of their propagation, but does not contain a length scale. A consequence of the dispersion relation is energy focusing during wave reflection from inclined walls. In a limited volume of fluid, focusing leads to the concentration of wave energy near closed geometrical configurations called wave attractors. The evolution of the ideas of wave attractors attractors from ray-theory predictions to observations of wave turbulence in physical and numerical experiments is described.
Keywords: attractors, internal waves, inertial waves, wave turbulence, geophysical hydrodynamics.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0149-2019-0004
Russian Academy of Sciences - Federal Agency for Scientific Organizations 26
Siberian Branch of Russian Academy of Sciences II.1
Received: 26.11.2018
Revised: 26.11.2018
Accepted: 26.11.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 1, Pages 284–302
DOI: https://doi.org/10.1134/S002189441902010X
Bibliographic databases:
Document Type: Article
UDC: 532.59
Language: Russian
Citation: I. N. Sibgatullin, E. V. Yermanyuk, “Internal and inertial wave attractors (review)”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 113–136; J. Appl. Mech. Tech. Phys., 60:1 (2019), 284–302
Citation in format AMSBIB
\Bibitem{SibYer19}
\by I.~N.~Sibgatullin, E.~V.~Yermanyuk
\paper Internal and inertial wave attractors (review)
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 2
\pages 113--136
\mathnet{http://mi.mathnet.ru/pmtf464}
\crossref{https://doi.org/10.15372/PMTF20190210}
\elib{https://elibrary.ru/item.asp?id=37248714}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 1
\pages 284--302
\crossref{https://doi.org/10.1134/S002189441902010X}
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  • https://www.mathnet.ru/eng/pmtf/v60/i2/p113
    • This publication is cited in the following 23 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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