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Instabilities of finite-amplitude gravity waves on water of finite depth

Published online by Cambridge University Press:  20 April 2006

John W. McLean
Affiliation:
Fluid Mechanics Department, TRW Defense and Space Systems Group, Redondo Beach, CA 90278

Abstract

A study of the instabilities of finite-amplitude periodic gravity waves has extended recent deep-water results to finite depth. Results are presented for three depths, one greater and two less than the depth for stabilization of two-dimensional long-wave perturbations. The results include those instabilities found by perturbation methods as well as some new types of instability.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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