Weak-Turbulent Theory of Wind-Driven Sea

Vladimir E. Zakharov, Sergei I. Badulin, Vladimir V. Geogjaev, Andrey N. Pushkarev

Research output: Contribution to journalReview articlepeer-review

18 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)540-556
Number of pages17
JournalEarth and Space Science
Issue number4
StatePublished - Apr 2019


  • Kolmogorov-Zakharov solutions
  • kinetic equation
  • self-similarity
  • surface waves
  • wave-wave interactions
  • weak turbulence

ASJC Scopus subject areas

  • Environmental Science (miscellaneous)
  • Earth and Planetary Sciences(all)


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