Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-16T10:36:33.890Z Has data issue: false hasContentIssue false
  • English
  • Français

The generation of surface waves over a sloping beach by an oscillating line-source. II. The existence of wave-free source positions

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

An expression is obtained for the amplitude of the waves radiated to infinity by a line source of sinusoidally-varying strength situated in water over a beach of angle α (0 < α ≤ π). It is shown that, for certain positions of the source, this amplitude is zero. Equations for the loci of these positions, and approximations to their solutions in particular cases, are derived.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 3 , November 1974 , pp. 555 - 562
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.)

References

REFERENCES

(1)Morris, C. A. N.Proc. Cambridge Philos. Soc. 76 (1974), 545–554.CrossRefGoogle Scholar
(2)Sretenskii, L. N.Prikl. Mat. Meh. 27 (1963), 1012–1025.Google Scholar
(3)Holford, R. L. Stanford University Mathematics Department Research Report no. 4 (1965).Google Scholar
(4)Peters, A. S.Comm. Pure. Appl. Math. 9 (1950), 319–354.CrossRefGoogle Scholar
(5)Stoker, J. J.Quart. Appl. Math. 5 (1947), 1–54.CrossRefGoogle Scholar
(6)Morris, C. A. N. Ph.D. thesis, University of Bristol, 1972.Google Scholar
(7)Williams, W. E.Proc. Cambridge Philos. Soc. 57 (1961), 439–441.CrossRefGoogle Scholar