Hostname: page-component-669899f699-7tmb6 Total loading time: 0 Render date: 2025-04-27T13:03:30.513Z Has data issue: false hasContentIssue false
  • English
  • Français

The generation of surface waves over a sloping beach by an oscillating line-source. I. The general solution

Published online by Cambridge University Press:  24 October 2008

Clare A. N. Morris
Clare A. N. Morris
Affiliation:
(Department of Mathematics and Statistics, City of London Polytechnic)
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of wave generation by a line source of sinusoidally varying strength situated in water above a beach of arbitrary angle α(0 < α ≤ π) is solved by the use of a Laplace-integral representation of the solution. It is shown that a solution can be constructed which is regular at the shoreline and gives an outgoing wave-train at infinity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 3 , November 1974 , pp. 545 - 554
Copyright
Copyright © Cambridge Philosophical Society 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

(1)Peters, A. S.Comm. Pure Appl. Math. 3 (1950), 310–354.CrossRefGoogle Scholar
(2)Stoker, J. J.Quart. Appl. Math. 5 (1947), 1–54.CrossRefGoogle Scholar
(3)Lewy, H.Bull. Amer. Math. Soc. 52 (1946), 737–775.CrossRefGoogle Scholar
(4)Sretenskii, L. N.Prikl. Mat. Meh. 27 (1963), 1012–1025.Google Scholar
(5)Shen, M. C. New York University, Courant Institute of Mathematical Sciences, report no. IMM 342, (1965).Google Scholar
(6)Morris, C. A. N.Proc. Cambridge Philos. Soc. 76 (1974), 555–562.CrossRefGoogle Scholar
(7)Titchmarsh, E. C.The theory of functions (Oxford, 1932).Google Scholar
(8)Muskhelishvili, N. I.Singular integral equations, Noordhoff (Groningen, 1953).Google Scholar