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A note on the uniqueness of small-amplitude water waves travelling in a region of varying depth

Published online by Cambridge University Press:  24 October 2008

G. F. Fitz-Gerald
Affiliation:
Department of Mathematics and Computer Science, Royal Melbourne Institute of Technology, Melbourne, Victoria, 3000, Australia
R. H. J. Grimshaw
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria, 3052, Australia

Extract

The two-dimensional, irrotational, linear theory used in the investigation of the propagation of monochromatic surface gravity waves in a region of varying depth is considered. Uniqueness of the velocity potential is established for bottom profiles satisfying certain convexity conditions. These include the majority of profiles of physical interest.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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