Waves Trapped by Submerged Obstacles at High Frequencies

A. M. Marín, R. D. Ortíz and P. Zhevandrov

Journal of Applied Mathematics, 2007, vol. 2007, 1-17

Abstract:

As is well known, submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wavenumber k in the direction of the cylinders, there is only one trapped wave. We construct asymptotics of these trapped modes and their frequencies as k → ∞ in the case of one or two submerged cylinders by means of reducing the initial problem to a system of integral equations on the boundaries and then solving them using a technique suggested by Zhevandrov and Merzon (2003).

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:080205

DOI: 10.1155/2007/80205

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