Comptes Rendus
no. 8
A novel approach for detecting trapped surface waves in a canal with periodic underwater topography
[Une nouvelle approche pour la détection d'ondes de surfaces piégées dans un canal à topographie souterraine périodique]

Présenté par : Jean-Baptiste Leblond

Sergey A. Nazarov1
1 Institute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178, St.-Petersburg, Russia
Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 610-615.

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.

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.

Reçu le :
Accepté le :
Publié le :
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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