Weak-Turbulent Theory of Wind-Driven Sea

We present a self-consistent analytic theory of the wind-driven sea—the weak-turbulent theory. The base statement of the theory is that the four-wave resonant interactions play the leading role in the energy balance of the wind-driven sea. We study the exact solution of the stationary wave kinetic equation and the self-similar solutions of wave kinetic equation both in fetch- and duration-limited cases. The theory makes possible to explain the nature of universal power-like energy spectra as well as the power-like dependence of the total wave energy and peak frequency from the fetch and the duration.