Open Access
2007 Waves Trapped by Submerged Obstacles at High Frequencies
A. M. Marín, R. D. Ortíz, P. Zhevandrov
J. Appl. Math. 2007: 1-17 (2007). DOI: 10.1155/2007/80205


As is well known, submerged horizontal cylinders can serve as wavegorderes 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).


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A. M. Marín. R. D. Ortíz. P. Zhevandrov. "Waves Trapped by Submerged Obstacles at High Frequencies." J. Appl. Math. 2007 1 - 17, 2007.


Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1180.76009
MathSciNet: MR2342134
Digital Object Identifier: 10.1155/2007/80205

Rights: Copyright © 2007 Hindawi

Vol.2007 • 2007
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