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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 6, Pages 50–57
DOI: https://doi.org/10.15372/PMTF20170605
(Mi pmtf638)
 

This article is cited in 1 scientific paper (total in 1 paper)

Internal gravitational waves excited by an oscillating source of perturbations moving with subcritical velocity

V. V. Bulatov, Yu. V. Vladimirov

Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
Full-text PDF (312 kB) Citations (1)
Abstract: The problem of constructing asymptotics of the far fields of internal gravitational waves generated by an oscillating localized source of perturbations moving in a stratified flow of finite depth. The velocity of the perturbation source does not exceed the maximum group velocity of an individual wave mode. The wave pattern consists of waves of two types: annular and wedge-shaped. Solutions are obtained that describe the asymptotic behavior of ring waves, which are expressed in terms of the Hankel function. The asymptotics of wedge-shaped waves are expressed in terms of the Airy function and its derivative.
Keywords: stratified medium, internal gravitational waves, far fields, uniform asymptotics, wave front.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00466
Received: 06.07.2016
Revised: 20.09.2016
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 6, Pages 997–1003
DOI: https://doi.org/10.1134/S0021894417060050
Bibliographic databases:
Document Type: Article
UDC: 532.59:534.1
Language: Russian
Citation: V. V. Bulatov, Yu. V. Vladimirov, “Internal gravitational waves excited by an oscillating source of perturbations moving with subcritical velocity”, Prikl. Mekh. Tekh. Fiz., 58:6 (2017), 50–57; J. Appl. Mech. Tech. Phys., 58:6 (2017), 997–1003
Citation in format AMSBIB
\Bibitem{BulVla17}
\by V.~V.~Bulatov, Yu.~V.~Vladimirov
\paper Internal gravitational waves excited by an oscillating source of perturbations moving with subcritical velocity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 6
\pages 50--57
\mathnet{http://mi.mathnet.ru/pmtf638}
\crossref{https://doi.org/10.15372/PMTF20170605}
\elib{https://elibrary.ru/item.asp?id=30676159}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 6
\pages 997--1003
\crossref{https://doi.org/10.1134/S0021894417060050}
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  • 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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