Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid

V. Zakharov

Research output: Contribution to journalConference articlepeer-review

159 Scopus citations


In many physical situations, the oscillations of the free surface of a fluid are a random process in space and time. This is equally correct for ripples in a tea cup as well as for large ocean waves. In both cases, the situation must be described by the averaged equations imposed on a certain set of correlation functions. The derivation of such equations is not a simple problem even on a `physical' level of rigor. It is especially important to determine correctly the conditions of applicability for a given statistical description. For some physical reasons they might happen to be narrow. In this context, the statistical description of potential surface waves on the surface of an ideal fluid of finite depth is described.

Original languageEnglish (US)
Pages (from-to)327-344
Number of pages18
JournalEuropean Journal of Mechanics, B/Fluids
Issue number3
StatePublished - 1999
EventProceedings of the 1998 IUTAM Symposium on Three-Dimensional Aspects of Air-Sea Interaction - Nice, Italy
Duration: May 17 1998May 21 1998

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)


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