High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope

DOI10.1137/S0036139997317853zbMath0974.76018OpenAlexW2014165617MaRDI QIDQ4237250

Peter N. Zhevandrov, Anatolij E. Merzon

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997317853

zbMATH Keywords

Helmholtz equationnonhomogeneous boundary conditionsmixed boundary value problemhigh-frequency asymptoticsedge waveslarge wave numberwedge domainchannel of finite widthbeach of nonconstant slopefloating semisubmerged cylinder

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (8)

Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves ⋮ High-frequency asymptotics of waves trapped by underwater ridges and submerged cylinders ⋮ Asymptotics of long nonlinear coastal waves in basins with gentle shores ⋮ Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory ⋮ Unnamed Item ⋮ Stability of trapped surface waves under small perturbations of the density of the upper layer ⋮ Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls ⋮ Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves

This page was built for publication: High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope