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Note on edge waves in a stratified fluid

Published online by Cambridge University Press:  28 March 2006

Chia-Shun Yih
Chia-Shun Yih
Affiliation:
Department of Engineering Mechanics, The University of Michigan
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Abstract

The solution given by Gerstner for water waves of finite amplitude, which is valid for a semi-infinite liquid of arbitrary stratification, is reconsidered. By a transformation of co-ordinates, it is shown to represent edge waves propagating along a sloping shore.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 4 , April 1966 , pp. 765 - 767
Copyright
© 1966 Cambridge University Press

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References

Dubreil-Jacotin, M. L. 1932 Sur les ondes de type permanent dans les liquides hétérogènes. Atti Accad. Lincei, Rend. Cl. Sci. Fis. Mat. Nat. (6), 15, 814–819.Google Scholar
Lamb, H. 1945 Hydrodynamics, 6th ed. New York: Dover.