Fractal dimensions of random water surfaces

Michael Stiassnie*, Yehuda Agnon, Lev Shemer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Fractal solutions of the inviscid water-wave problem are presented. For gravity waves (neglecting surface tension) free surfaces with fractal dimensions 2 1 4 and 2 1 3 are obtained. For capillary waves (neglecting gravity), subfractal free surfaces with dimension 2 are shown to exist. However, the situation is reversed if one considers time series of the surface elevation taken at a fixed point. In this case the capillary wave solution produces graphs with dimension 1 1 12, whereas the graph for gravity waves has dimension 1.

Original languageEnglish
Pages (from-to)341-352
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume47
Issue number3
DOIs
StatePublished - 2 Jan 1991

Funding

FundersFunder number
US Office of Naval Research

    Fingerprint

    Dive into the research topics of 'Fractal dimensions of random water surfaces'. Together they form a unique fingerprint.

    Cite this