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

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A new method is proposed for searching for trapped modes in several problems of linear water wave theory. In the case of submerged bodies, the method gives simple proofs of known results, and the condition obtained is completely new in the case of surface piercing bodies. Bibliography: 24 titles.

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  1. Institute of Problems in Mechanical Engineering, RAS, St. Petersburg, Russia

    S. A. Nazarov

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  1. S. A. Nazarov
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Correspondence to S. A. Nazarov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 369, 2009, pp. 202–223.

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Nazarov, S.A. Sufficient conditions on the existence of trapped modes in problems of the linear theory of surface waves. J Math Sci 167, 713–725 (2010). https://doi.org/10.1007/s10958-010-9956-3

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