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The scattering of surface waves by a vertical plane barrier

Published online by Cambridge University Press:  24 October 2008

R. J. Jarvis
Affiliation:
Department of Mathematics, The University, Dundee
B. S. Taylor
Affiliation:
Department of Mathematics, The University, Dundee

Abstract

In this paper we use a method due to Williams(1) to discuss the scattering of surface waves of small amplitude on water of infinite depth by a fixed vertical plane barrier extending indefinitely downwards from a finite depth.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Williams, W. E.Proc. Cambridge Philos. Soc. 62 (1966), 507509.CrossRefGoogle Scholar
(2)Ursell, F.Proc. Cambridge Philos. Soc. 43 (1947), 374382.CrossRefGoogle Scholar
(3)Faulkner, T. R.Proc. Cambridge Philos. Soc. 62 (1966), 829838.CrossRefGoogle Scholar
(4)Faulkner, T. R.Z. Angew. Math. Phys. 17 (1965), 699707.CrossRefGoogle Scholar
(5)Dean, W. R.Proc. Cambridge Philos. Soc. 41 (1945), 231238.CrossRefGoogle Scholar
(6)Stoker, J. J.Water waves (Interscience; New York, 1957).Google Scholar
(7)Copson, E. T.Proc. Edinburgh Math. Soc. 8 (1947), 1419.CrossRefGoogle Scholar
(8)Copson, E. T.Asymptotic expansions (Cambridge University Press, 1965).CrossRefGoogle Scholar