Underwater topography invisible for surface waves at given frequencies
Résumé
We consider scattering of surface waves modelled by the linear water wave equation in an unbounded two-dimensional domain of finite depth, at a given frequency and a given incidence. Using asymptotic analysis for small perturbations of the bottom shape, we build a fixed-point equation whose unique solution is a shape which cannot be detected by a distant observer. The method works at any incidence except π/4.
Origine | Fichiers produits par l'(les) auteur(s) |
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