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Existence of trapped modes along periodic structures in a two-layer fluid

F. S. Cal, G. A. S. Dias, J. H. Videman

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Source: Crossref

Published: Feb 29, 2012

DOI: 10.1093/qjmam/hbs001

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Source abstract

Abstract We consider trapping of linear water waves by infinite arrays of three-dimensional periodic structures in a two-layer fluid. We derive a geometric condition ensuring the existence of trapped modes and give several examples of structures satisfying the condition and supporting edge waves. We also study how the layer height and density ratios affect the sufficient condition.

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