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Reference

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A.N.Kolmogorov. Compt Rend. Acod. Sci. U.R.S.S. 30, 301 (1941) ; 32, 16 (1941)

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S. Tsugé, e-print archive, chao-dyn/9803013(1998)

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Th.von Kármán and L. Howarth, Proc.Roy.Soc.London,164A,192(1938)

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S. Tsugé, Phys.Fluids, 17,22(1974)

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H.P. Robertson,Proc.Cambr.Phil.Soc,36,209(1940)

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M. Tanahashi, T. Miyauchi and J. Ikeda, IUTAM Symposium on Simulation, Identification and Organized Stuructures in Flows(ed.J.N.Sorensen et al, Kluwer Acad.Pub.,1999)p.131

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National Geographic,159,2(1981)

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M.Tanahashi, private communication (2002)
FIGURE CAPTIONS
Figure 1. Pseudo-singularity formed by a pair of dipoles in the inertial subrange of the eddy space. The shaded part represents the dissipation region.[See Eq.(63).]
Figure 2. Evolution of turbulent vortices visualized by a gigantic turbulent jet : Volcano eruption of Mt. Saint Helens[7].
Figure 3. 1D power spectrum $P_{11}$ plotted against 1D wave number $k_1$ with slenderness ratio $\delta$ as the parameter. The calculated spectrum is averaged over five neighboring points to make the comparison with -5/3 or -2 power laws easier.