TY - JOUR
T1 - Fractal dimensions of random water surfaces
AU - Stiassnie, Michael
AU - Agnon, Yehuda
AU - Shemer, Lev
N1 - Funding Information:
This study is supported by the US Office of Naval Research under Grant No. N00014-88-J-1027.
PY - 1991/1/2
Y1 - 1991/1/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0010528073&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(91)90034-7
DO - 10.1016/0167-2789(91)90034-7
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AN - SCOPUS:0010528073
VL - 47
SP - 341
EP - 352
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 3
ER -