On the Linear Water Wave Problem in the Presence of a Critically Submerged Body

DOI10.1137/120868074zbMath1488.35194arXiv1202.1217OpenAlexW2064718970MaRDI QIDQ4907747

Vladimir Gilelevich Maz'ya, Ilia V. Kamotski

Publication date: 22 February 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1217

zbMATH Keywords

uniquenesslimiting absorption principleradiation conditionswater wavesdomains with cusps

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain ⋮ 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 ⋮ Abnormal behavior of eigenvalues of mixed boundary value problems for the Laplace operator in truncated, but long cylinders ⋮ Estimate for a solution to the water wave problem in the presence of a submerged body

This page was built for publication: On the Linear Water Wave Problem in the Presence of a Critically Submerged Body