Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin
Abstract
The paper On the multifractal nature of fully developed turbulence and chaotic systems, by R. Benzi et al. published in this journal in 1984 (vol 17, page 3521) has been a starting point of many investigations on the different faces of selfsimilarity and intermittency in turbulent phenomena. Since then, the multifractal model has become a useful tool for the study of small scale turbulence, in particular for detailed predictions of different Eulerian and Lagrangian statistical properties. In the occasion of the 50-th birthday of our unforgettable friend and colleague Giovanni Paladin (1958-1996), we review here the basic concepts and some applications of the multifractal model for turbulence.
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