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Fractals in turbulence. (English) Zbl 0817.76026
Farge, M. (ed.) et al., Wavelets, fractals, and Fourier transforms. Based on the proceedings of a conference, organized by the Institute of Mathematics and its Applications and Société de Mathématiques Appliquées et Industrielles and held at Newnham College, Cambridge, UK, in December 1990. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 43, 325-340 (1993).
We introduce the concepts of local and global self-similarity, and suggest on the basis of previously obtained numerical and experimental results that interfaces in turbulent flows may be locally selfsimilar. An important advantage of the proposed box-counting techniques is that the existence of a well defined value of Kolmogorov capacity may provide a better criterion of high Re turbulence than the existence of self-similar power spectra \(\Gamma (k) \sim k^{-p}\) at large wavenumbers \(k\).
For the entire collection see [Zbl 0809.00021].

76F99 Turbulence
28A80 Fractals