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On Zakharov's kernel and the interaction of non-collinear wavetrains in finite water depth

Published online by Cambridge University Press:  21 October 2009

MICHAEL STIASSNIE  and
ODIN GRAMSTAD
MICHAEL STIASSNIE*
Affiliation:
Faculty of Civil and Environmental Engineering, Technion IIT, Haifa 32000, Israel
ODIN GRAMSTAD
Affiliation:
Department of Mathematics, University of Oslo, Boks 1053, Blindern, N-0316 Oslo, Norway
*
†Email address for correspondence: miky@tx.technion.ac.il
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Abstract

The non-uniqueness of Zakharov's kernel T(ka, kb, ka, kb) for gravity waves in water of finite depth is resolved. This goal is achieved by the physical insight gained from the study of the induced mean flow generated by two interacting wavetrains.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 639 , 25 November 2009 , pp. 433 - 442
Copyright
Copyright © Cambridge University Press 2009

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References

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