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Long Waves on a Rotating Earth in the Presence of a Semi-Infinite Barrier

Published online by Cambridge University Press:  20 January 2009

LL. G. Chambers
LL. G. Chambers
Affiliation:
Department of MathematicsUniversity College of North WalesBangor
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Summary

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The problem considered is that of long gravity waves approaching, from an arbitrary direction, a semi-infinite barrier, the whole system being in rotation. It is shown that the rotation gives rise to a wave in the shadow region whose amplitude depends upon the angle of incidence, but whose form is independent of it and which travels along the barrier without attenuation in that direction. The work is an extension and simplification of previous work by Crease, involving the use of methods previously developed by the author.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 1 , June 1964 , pp. 25 - 31
Copyright
Copyright © Edinburgh Mathematical Society 1964

References

REFERENCE

(1) Chambers, LL. G., Proc. Edin. Math. Soc. (2) 10 (1954), 92.Google Scholar
(2) Crease, J., J. Fluid Mech., 1 (1956), 86.Google Scholar
(3) Proudman, J., Dynamical Oceanography (Methuen, 1953), p. 220.Google Scholar
(4) Whtttaker, E. T. and Watson, G. N., A Course of Modern Analysis (Cambridge, 1940), p. 152.Google Scholar