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
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
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 511 - 519
- Copyright
- Copyright © Cambridge Philosophical Society 1979
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