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Superharmonic Instability, Homoclinic Torus Bifurcation and Water-Wave Breaking

Bridges, T. J. (2004) Superharmonic Instability, Homoclinic Torus Bifurcation and Water-Wave Breaking Journal of Fluid Mechanics, 505. pp. 153-162. ISSN 0022-1120

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Abstract

The superharmonic instability is pervasive in large-amplitude water-wave problems and numerical simulations have predicted a close connection between it and crest instabilities and wave breaking. In this paper we present a nonlinear theory, which is a generic nonlinear consequence of superharmonic instability. The theory predicts the nonlinear behaviour witnessed in numerics, and gives new information about the nonlinear structure of large-amplitude water waves, including a mechanism for noisy wave breaking.

Item Type: Article
Additional Information: Bridges, T. J. (2004) Superharmonic Instability, Homoclinic Torus Bifurcation and Water-Wave Breaking. <i>Journal of Fluid Mechanics,</i> Vol. 505, pp. 153-162. &amp;copy 2004 Cambridge University Press Click <a href=http://www.jfm.damtp.cam.ac.uk/ >here</a> to visit the journal's website.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 07 Nov 2013 14:12
URI: http://epubs.surrey.ac.uk/id/eprint/1519

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