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.
@article{SM_2012_203_9_a2,
author = {S. A. Nazarov},
title = {Concentration of frequencies of trapped waves in problems on freely floating bodies},
journal = {Sbornik. Mathematics},
pages = {1269--1294},
publisher = {mathdoc},
volume = {203},
number = {9},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2012_203_9_a2/}
}
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/