On the basis fo experimental data concerning the similarity between the energy-carrying components of fairly developed wind waves and linear free waves, a kinetic equation of the weak turbulence approximation is used to describe them, which takes into account nonlinear interactions, runup from the wind, and dissipation. The special features of this approximation are discussed which are related to the appearance of a law of conservation of wave action specific to weakly nonlinear gravity waves in addition to the ordinary dynamic laws of conservation of momentum and energy. It is shown that in the isotropic case (when the wave momentum is equal to zero) the exact steady solutions of the kinetic equation outside the runup and dissipation ranges are two alternative Kolmogorov power spectra determined, respectively, by energy and action flows.
|Translated title of the contribution||Kinetic Equation and Kolmogorov Spectra in the Weak Turbulence Theory of Wind Waves.|
|Number of pages||10|
|Journal||Izvestia Akademii nauk SSSR. Fizika atmosfery i okeana|
|State||Published - Jan 1 1982|
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