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Waves created against a vertical cliff – a uniform asymptotic solution

Published online by Cambridge University Press:  24 October 2008

A. K. Pramanik
A. K. Pramanik
Affiliation:
Centre of Advanced Study in Applied Mathematics, University College of Science, Calcutta
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Summary

The initial-value problem of waves generated by a moving oscillatory surface pressure against a vertical cliff is solved and a uniform asymptotic analysis of the unsteady state is given. The same problem with no cliff is solved by Kaplan, and by Debnath and Rosenblat but their solutions are not uniform.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 2 , March 1978 , pp. 321 - 328
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Debnath, L. and Rosenblat, S.The ultimate approach to the steady state in the generation of waves on a running stream. Quart. J. Mech. Appl. Math. 22 (1969), 221.CrossRefGoogle Scholar
(2)Kaplan, P.The waves generated by the forward motion of oscillatory pressure distribution. Proc. 5th Midwest Conf. Fluid Mech. (1957), 316.Google Scholar
(3)Stoker, J. J.Water waves (New York, Interscience, 1957).Google Scholar
(4)Van Der Waerden, B. L.Appl. Sci. Res. 2 (1951), 353.Google Scholar