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.
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/
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