Journal
JOURNAL OF FLUID MECHANICS
Volume 572, Issue -, Pages 255-260Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112006003697
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We derive two third-order structure function relations for quasi-geostrophic turbulence, one for the forward cascade of potential enstrophy and one for the inverse cascade of energy. These relations are the counterparts of Kolmovorov's (1941) four-fifths law for the third-order longitudinal structure functions of three-dimensional turbulence.
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