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Diffraction of planetary waves by a semi-infinite plate

Published online by Cambridge University Press:  17 April 2009

P.P. Siew  and
D.G. Hurley
P.P. Siew
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
D.G. Hurley
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
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Abstract

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In this paper the diffraction of a planetary wave by a semi-infinite plate of arbitrary inclination is investigated using a β-plane approximation. The Wiener-Hopf technique is used to obtain an integral representation of the solution and an asymptotic description of the diffracted wave is obtained by the method of steepest descent.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 145 - 156
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Hurley, D.G., “internal waves in a wedge-shaped region”, J. Fluid Mech. 43 (1970), 97–120.CrossRefGoogle Scholar
[2]Lighthill, M.J., “Studies in magneto-hydrodynamic waves and other anisotropic wave motions”, Phil. Trans. Roy. Soc. London Sev. A 252 (1960), 397–430.Google Scholar
[3]Longuet-Higgins, M.S., “Planetary waves on a rotating sphere”, Proc. Roy. Soc. Sep. A. 279 (1964), 446–473.Google Scholar
[4]Longuet-Higgins, M.S., “On group velocity and energy flux in planetary wave motions”, Deep Sea Research 11 (1961), 35–42.Google Scholar
[5]Longuet-Higgins, M.S., “Planetary waves on a rotating sphere. II”, Proc. Roy. Soc. Ser. A 284 (1965), 40–68.Google Scholar
[6]Longuet-Higgins, M.S. and Gill, A.E., “Resonant interactions between planetary waves”, Proc. Roy. Soc. Ser. A 299 (1967), 120–140.Google Scholar
[7]Robinson, R.M., “The effects of a vertical barrier on internal waves”, Deep Sea Research 16 (1969), 421–429.Google Scholar
[8]Robinson, R.M., “The effects of a corner on a propagating internal gravity wave”, J. Fluid Mech. 42 (1970), 257–267.CrossRefGoogle Scholar