The problem of the diffraction of internal waves at the edge of a semi- infinite film
type: Item
instance of: scholarly article
title: The problem of the diffraction of internal waves at the edge of a semi- infinite film
zbMATH Open document ID: 0656.76029
DOI: 10.1016/0021-8928(87)90048-7
author: S. H. Smith
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: In a continuation of the research described e.g. by the author in Zh. Vychisl. Mat. Mat. Fiz. 25, No 3, 413-421 (1985; Zbl 0588.73045) on the diffraction of waves, described by the Klein-Gordon equation, the diffractin of external waves at the boundary of a semi-infinity film situated on the surface of a stratified liquid is considered. The need to take into account the properties of the surface covering the liquid led to a study of the boundary value problem for the Helmholtz equation with boundary conditions containing higher-order derivatives than the equation itself. Consideration of the surface tension of a semi-infinite film leads to a similar situation. However, in this case the propagation of the waves is described by an equation of the hyperbolic and not the elliptic type.
Mathematics Subject Classification ID: 76B55
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4072575
zbMATH Keywords: Klein-Gordon equation
zbMATH Keywords: external waves
zbMATH Keywords: boundary of a semi-infinity film
zbMATH Keywords: stratified liquid
zbMATH Keywords: Helmholtz equation
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90048-7
OpenAlex ID: W1992626541
cites work: Q3970020
cites work: Q3667319
cites work: The scattering of interval waves by the periphery of an elastic plate
cites work: Diffraction of a plane hydro-acoustic wave at a crack in an elastic plate
cites work: Q5594505
cites work: Q3282205
description: scientific article; zbMATH DE number 4072575