Comptes Rendus
A novel approach for detecting trapped surface waves in a canal with periodic underwater topography
Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 610-615.

A new approach is proposed to detect trapped modes in periodic canals. The obtained sufficient condition is new even for a straight canal with a body piercing the water surface as well.

Une nouvelle approche est proposée pour détecter les modes piégés dans les canaux périodiques. La condition suffisante obtenue est nouvelle également dans le cas d'un canal droit avec un corps traversant la surface de l'eau.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2009.06.029
Keywords: Waves, Surface water-waves, Trapped modes, Localized solutions
Mot clés : Ondes, Ondes de surface marines, Modes piégés, Solutions localisées

Sergey A. Nazarov 1

1 Institute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178, St.-Petersburg, Russia
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Sergey A. Nazarov. A novel approach for detecting trapped surface waves in a canal with periodic underwater topography. Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 610-615. doi : 10.1016/j.crme.2009.06.029. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.06.029/

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The author gratefully acknowledges the support by N.W.O., the Netherlands Organization for Scientific Research.

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