Concentration of frequencies of trapped waves in problems on freely floating bodies
Sbornik. Mathematics, Tome 203 (2012) no. 9, pp. 1269-1294

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It is shown that by choosing the shape of two identical bodies floating freely in a channel with symmetric cross-section it is possible to form any pre-assigned number of linearly independent trapped waves (localized solutions). Bibliography: 27 titles.
Keywords: trapped surface waves, trapped modes, localized solutions, freely floating body, concentration of the point spectrum.
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S. A. Nazarov. Concentration of frequencies of trapped waves in problems on freely floating bodies. Sbornik. Mathematics, Tome 203 (2012) no. 9, pp. 1269-1294. http://geodesic.mathdoc.fr/item/SM_2012_203_9_a2/