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Recurrent solutions of Alber's equation for random water-wave fields

Published online by Cambridge University Press:  25 February 2008

M. STIASSNIE ,
A. REGEV  and
Y. AGNON
M. STIASSNIE
Affiliation:
Faculty of Civil & Environmental Engineering, Technion, Haifa 32000, Israelmiky@tx.technion.ac.il
A. REGEV
Affiliation:
Faculty of Civil & Environmental Engineering, Technion, Haifa 32000, Israelmiky@tx.technion.ac.il
Y. AGNON
Affiliation:
Faculty of Civil & Environmental Engineering, Technion, Haifa 32000, Israelmiky@tx.technion.ac.il
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Abstract

The study addresses the linear instability of narrow spectra homogeneous seas and its subsequent evolution in time, subject to inhomogeneous disturbances. Specifically, we study unidirectional spectra, where according to the kinetic equation no spectral evolution is expected. In the region of instability, recurrent evolution is discovered. This recurrence is the stochastic counterpart of the Fermi–Pasta–Ulam recurrence obtained for the cubic Schrödinger equation.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 598 , 10 March 2008 , pp. 245 - 266
Copyright
Copyright © Cambridge University Press 2008

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References

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