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Waves Trapped by Submerged Obstacles at High Frequencies

Author

Listed:
  • A. M. Marín
  • R. D. Ortíz
  • P. Zhevandrov

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).

Suggested Citation

  • A. M. Marín & R. D. Ortíz & P. Zhevandrov, 2007. "Waves Trapped by Submerged Obstacles at High Frequencies," Journal of Applied Mathematics, Hindawi, vol. 2007, pages 1-17, September.
    • Handle: RePEc:hin:jnljam:080205
    DOI: 10.1155/2007/80205
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    Cited by:

    1. Ana Magnolia Marín & Ruben Dario Ortíz & Joel Arturo & Rodriguez-Ceballos, 2012. "Trapping waves by a submerged cylinder," Indian Journal of Pure and Applied Mathematics, Springer, vol. 43(3), pages 197-210, June.

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