Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-29T20:11:14.762Z Has data issue: false hasContentIssue false

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
Affiliation:
Department of MathematicsUniversity College of North WalesBangor
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
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