Abstract
It is proved that, under a certain geometrical assumption in the linear water-wave problem, a body approaching the water surface of a symmetric three-dimensional channel gets any number of trapped modes with frequencies in the interval (0, δ) of the continuous spectrum; here δ can be any given positive number.
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Nazarov, S.A. A body traps as many water-wave modes in a symmetric channel as it wishes. Russ. J. Math. Phys. 18, 183–194 (2011). https://doi.org/10.1134/S1061920811020075
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DOI: https://doi.org/10.1134/S1061920811020075