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The suppression of short waves by a train of long waves

  • A. M. Balk (a1)
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.

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Balk, A. M., Nazarenko, S. V. & Zakharov, V. E.1990On the nonlocal turbulence of drift type waves. Phys. Lett. A 146, 217221.

Benjamin, T. B. & Feir, J. E. 1967 The disintegration of wave trains on deep water. J. Fluid Mech. 27, 417430.

Crawford, D. R., Saffman, P. G. & Yuen, H. C.1980Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves. Wave Motion2, 116.

Hasselmann, K. 1962 On the nonlinear energy transfer in a gravity-wave spectrum. Part 1. General theory. J. Fluid Mech. 12, 481500.

Phillips, O. M. & Banner, M. L. 1974 Wave breaking in the presence of wind drift and swell. J. Fluid Mech. 66, 625640.

Zakharov, V. E., Musher, S. L. & Rubenchik, A. M.1985Hamiltonian approach to the description of nonlinear plasma phenomena. Phys. Reports129, 285366.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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