Details

Autor(en) / Beteiligte

• Bonnet-Ben Dhia, Anne-Sophie
• Nazarov, Sergey A.
• Taskinen, Jari

Titel

Underwater topography invisible for surface waves at given frequencies

Ist Teil von

• Wave motion, 2015-09, Vol.57, p.129-142

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2015

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider scattering of surface waves modeled 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. •Linear water wave model in an infinite, two-dimensional domain is studied.•A general method for cloaking small bottom perturbations is developed.•The approach consists of mathematical analysis with rigorous proofs.