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- A. M. MARIN, R. D. ORTIZ, J. A. RODRIGUEZ-CEBALLOS
- 2011

As is well-known, underwater ridges and submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wavenumber in the direction of the ridge, there is only one trapped wave (this was proved in Bonnet & Joly (1993, SIAM J. Appl. Math., 53, pp. 1507–1550)). We construct the asymptotics of these trapped waves and… (More)

- Ana Magnolia Marín, Rubén Darío Ortíz, Peter Zhevandrov
- J. Applied Mathematics
- 2007

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… (More)

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