Propagation of long waves into a set of parallel vertical barriers on a rotating earth
type: Item
instance of: scholarly article
title: Propagation of long waves into a set of parallel vertical barriers on a rotating earth
zbMATH Open document ID: 0564.76103
DOI: 10.1016/0165-2125(84)90018-0
published in: Wave Motion
publication date: 1984-01-01T00:00:00Z
review text: The problem of long wave linear propagation into a set of parallel rotating infinite walls, is considered. The waves are produced by a flow in a semi-infinite channel enclosed between the walls. The model is constructed in order to explain certain propagation of tides, such as, for example, in East Indies and West Indies. The problem is treated by Fourier transform with respect to the horizontal variables. In the Fourier-transform plane, a pair of Wiener-Hopf equations is obtained and solved. The solution of the initial problem is then calculated by performing the inverse Fourier transform as a series expansion. The results generalize previous solutions which were given by \textit{B. A. Packham} [J. Fluid Mech. 39, 321-328 (1969; Zbl 0185.554)] in the case of an infinite domain.
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 3900430
zbMATH Keywords: long wave linear propagation
zbMATH Keywords: parallel rotating infinite walls
zbMATH Keywords: propagation of tides
zbMATH Keywords: Fourier transform
zbMATH Keywords: Wiener-Hopf equations
author: George M. Kapoulitsas
MaRDI profile type: Publication
full work available at URL: 0165-2125(84)90018-0
OpenAlex ID: W2057246638
cites work: Q5775846
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description: scientific article; zbMATH DE number 3900430