Journal of Fluid Mechanics

The suppression of short waves by a train of long waves

A. M.  Balk a1
a1 Applied Mathematics 217-50, California Institute of Technology, Pasadena, CA 91125, USA

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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.

(Published Online April 26 2006)
(Received September 25 1995)
(Revised December 21 1995)