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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 369, Pages 202–223 (Mi znsl3527)  
This article is cited in 38 scientific papers (total in 38 papers)

Sufficient conditions of the existence of trapped modes in problems of the linear theory of surface waves

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (687 kB) Citations (38) English version article
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Abstract: A new method is proposed for searching for trapped modes in several problems of the linear water-wave theory. In the case of submerged bodies the method gives simple proofs of known results and in the case of surface piercing bodies the observed condition in completely new. Bibl. – 24 titles.
Key words and phrases: eigenvalues beneath the threshold of a continuous spectrum, trapped modes, surface waves.
Received: 15.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 167, Issue 5, Pages 713–725
DOI: https://doi.org/10.1007/s10958-010-9956-3
Bibliographic databases:
Document Type: Article
UDC: 519.958:531.327.13
Language: Russian
Citation: S. A. Nazarov, “Sufficient conditions of the existence of trapped modes in problems of the linear theory of surface waves”, Mathematical problems in the theory of wave propagation. Part 38, Zap. Nauchn. Sem. POMI, 369, POMI, St. Petersburg, 2009, 202–223; J. Math. Sci. (N. Y.), 167:5 (2010), 713–725
Citation in format AMSBIB
\Bibitem{Naz09}
\by S.~A.~Nazarov
\paper Sufficient conditions of the existence of trapped modes in problems of the linear theory of surface waves
\inbook Mathematical problems in the theory of wave propagation. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 369
\pages 202--223
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3527}
\elib{https://elibrary.ru/item.asp?id=15314019}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 167
\issue 5
\pages 713--725
\crossref{https://doi.org/10.1007/s10958-010-9956-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953913560}
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  • https://www.mathnet.ru/eng/znsl/v369/p202
    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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