Trapping waves by a submerged cylinder

Ana Magnolia Marín (), Ruben Dario Ortíz, Joel Arturo () and Rodriguez-Ceballos ()
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Ana Magnolia Marín: Universidad de Cartagena, Sede Piedra de Bolivar
Ruben Dario Ortíz: Universidad de Cartagena, Sede Piedra de Bolivar
Rodriguez-Ceballos: Col. Lomas de Santiaguito

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 3, 197-210

Abstract: Abstract For large values of the wavenumber k in the direction of cylinder, there is only one trapped wave. We construct asymptotics of these trapped modes and their frequencies as k → ∞ in the case of one submerged cylinder into a plane water layer by means of reducing the initial problem to three integral equations on the boundaries and then solving them using a method suggested by Zhevandrov and Merzon (Amer. Math. Soc. Translations (2) 208, 235–284 (2003)).

Keywords: Boundary value problem; asymptotics; eigenfunctions; eigenvalues; water waves (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0016-1

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