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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 140, Pages 151–166 (Mi znsl4081)  
This article is cited in 9 scientific papers (total in 9 papers)

Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$

M. M. Popov
Full-text PDF (632 kB) Citations (9)
Abstract: The asymptotics is constructed as $t\to\infty$ for the wave field generated by a whispering-gallery wave incident on an inflection point of the boundary. The asymptotics has ray character and is connected with the family of rays tangent to the convex part of the boundary beyond the point of inflection.
English version:
Journal of Soviet Mathematics, 1986, Volume 32, Issue 2, Pages 205–214
DOI: https://doi.org/10.1007/BF01084159
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: Russian
Citation: M. M. Popov, “Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$”, Mathematical problems in the theory of wave propagation. Part 14, Zap. Nauchn. Sem. LOMI, 140, "Nauka", Leningrad. Otdel., Leningrad, 1984, 151–166; J. Soviet Math., 32:2 (1986), 205–214
Citation in format AMSBIB
\Bibitem{Pop84}
\by M.~M.~Popov
\paper Whispering-gallery waves in a~neighborhood of an inflection point of the boundary. Asymptotics of the wave field as $t\to\infty$
\inbook Mathematical problems in the theory of wave propagation. Part~14
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 140
\pages 151--166
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4081}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=765723}
\zmath{https://zbmath.org/?q=an:0557.35097}
\transl
\jour J. Soviet Math.
\yr 1986
\vol 32
\issue 2
\pages 205--214
\crossref{https://doi.org/10.1007/BF01084159}
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  • https://www.mathnet.ru/eng/znsl/v140/p151
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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