Uniqueness in the problem of an obstacle in oblique waves

Nikolay Kuznetsov

doi:10.1016/S1631-0721(03)00042-1

Uniqueness in the problem of an obstacle in oblique waves
[Unicité du problème d'un obstacle dans des ondes obliques]

Présenté par : Évariste Sanchez-Palencia

Nikolay Kuznetsov ¹

¹ Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr. 61, St. Petersburg 199178, Russia

Comptes Rendus. Mécanique, Volume 331 (2003) no. 3, pp. 183-188.

Résumé
Abstract

Nous considérons le problème du mouvement sur la houle. À partir des conditions géométriques pour deux cylindres flottant dans une mer de profondeur infinie et dans des ondes obliques, nous obtenons un intervalle de fréquences d'unicité.

A solution to the linearized water-wave problem involving a pair of surface-piercing cylinders in oblique waves and infinite water depth is proved to be unique for certain geometric arrangements and frequencies in some interval above the cut-off frequency.

Reçu le : 2003-01-25
Accepté le : 2003-01-25
Publié le : 2003-03-01

DOI : 10.1016/S1631-0721(03)00042-1

Keywords: Fluid mechanics, Oblique waves, Pair of floating cylinders, Nodal line, Conformal mapping, Uniqueness theorem
Mot clés : Mécanique des fluides, Ondes obliques, Deux cylindres flottants, Courbe nodale, Transformation conforme, Théorème d'unicité

Affiliations des auteurs :

Nikolay Kuznetsov ¹

¹ Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr. 61, St. Petersburg 199178, Russia

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     title = {Uniqueness in the problem of an obstacle in oblique waves},
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Nikolay Kuznetsov. Uniqueness in the problem of an obstacle in oblique waves. Comptes Rendus. Mécanique, Volume 331 (2003) no. 3, pp. 183-188. doi : 10.1016/S1631-0721(03)00042-1. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00042-1/

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