Embedded trapped modes for water waves in an infinite channel

UDC 517.9 We present a simple perturbation scheme for calculating the frequencies of water waves trapped by a small obstruction of the water bed. The corresponding solutions describe embedded  trapped modes that are localized at the obstruction and decay at infinity. A simple formula for their frequ...

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Bibliographic Details
Date:2026
Main Author: Rodríguez, M. I. Romero
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8874
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal