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The suppression of short waves by a train of long waves

Published online by Cambridge University Press:  26 April 2006

A. M. Balk
A. M. Balk
Affiliation:
Applied Mathematics 217-50, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

It is shown that a train of long waves can suppress a short-wave field due to four-wave resonance interactions. These interactions lead to the diffusion (in Fourier space) of the wave action of the short-wave field, so that the wave action is transported to the regions of higher wavenumbers, where it dissipates more effectively. The diffusion equation is derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 315 , 25 May 1996 , pp. 139 - 150
Copyright
© 1996 Cambridge University Press

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