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Three Dimensional Stability and Bifurcation of Steady Water Waves

Saffman, P. G. (1985) Three Dimensional Stability and Bifurcation of Steady Water Waves. In: Theoretical and Applied Mechanics. Elsevier , Amsterdam, pp. 355-367. ISBN 978-0-444-87707-9. https://resolver.caltech.edu/CaltechAUTHORS:20170802-085615000

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Abstract

The stability of finite amplitude two-dimensional waves of permanent form on deep water to arbitrary three-dimensional disturbances is considered. The possibility of instability is related to the existence of resonances between linear waves. The regions of instability are calculated. It is shown that spontaneous three-dimensional waves of permanent form can arise, from bifurcation of two-dimensional waves at wave heights and wave lengths for which stationary disturbances exist, and their properties are determined.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/B978-0-444-87707-9.50028-2DOIArticle
http://www.sciencedirect.com/science/article/pii/B9780444877079500282PublisherArticle
Additional Information:© 1985 IUTAM. Published by Elsevier B.V.
Record Number:CaltechAUTHORS:20170802-085615000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170802-085615000
Official Citation:P.G. Saffman, THREE DIMENSIONAL STABILITY AND BIFURCATION OF STEADY WATER WAVES, In Theoretical and Applied Mechanics, Elsevier, 1985, Pages 355-367, ISBN 9780444877079, https://doi.org/10.1016/B978-0-444-87707-9.50028-2. (http://www.sciencedirect.com/science/article/pii/B9780444877079500282)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79741
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 Aug 2017 17:31
Last Modified:03 Oct 2019 18:23

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