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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/znsl3527
https://www.mathnet.ru/eng/znsl/v369/p202
This publication is cited in the following 36 articles:
Citation in format AMSBIB
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