Radiation conditions at the top of a rotational cusp in the theory of water-waves
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Publication:2839142
DOI10.1051/m2an/2011004zbMath1267.76013OpenAlexW2128123443MaRDI QIDQ2839142
Jari Taskinen, Sergueï A. Nazarov
Publication date: 4 July 2013
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2011004
Boundary value problems for second-order elliptic equations (35J25) Spectral theory and eigenvalue problems for partial differential equations (35P99) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
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RADIATION CONDITION FOR A NON-SMOOTH INTERFACE BETWEEN A DIELECTRIC AND A METAMATERIAL ⋮ The stiff Neumann problem: Asymptotic specialty and “kissing” domains ⋮ Spectrum of the linear water model for a two‐layer liquid with cuspidal geometries at the interface ⋮ Singularities at the contact point of two kissing Neumann balls ⋮ ``Blinking eigenvalues of the Steklov problem generate the continuous spectrum in a cuspidal domain ⋮ Incomplete comparison principle in problems about surface waves trapped by fixed and freely floating bodies ⋮ Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner ⋮ Gaps in the spectrum of the Neumann problem on a perforated plane ⋮ Spectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holes ⋮ Notes to the proof of a weighted Korn inequality for an elastic body with peak-shaped cusps ⋮ Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain ⋮ Linear water-wave problem in a pond with a shallow beach ⋮ Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains
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