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Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin
No full textThe paper On the multifractal nature of fully developed turbulence and chaotic systems, by Benzi et al (1984 J. Phys. A: Math. Gen. 17 3521) has been a starting point of many investigations on the different faces of self-similarity 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. On the occasion of the 50th 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
Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin
No full text
Spatial patterns in chemically and biologically reacting flows
No full textEn: Proceedings of the 2001 ISSAOS School, Eds. G. Boffetta, G. Lacorata, G. Visconti, A. Vulpiani.-- 41 pages, 8 figures.-- ArXiv pre-print: http://arxiv.org/abs/nlin.CD/0205009We present here a number of processes, inspired by concepts in Nonlinear Dynamics such as chaotic advection and excitability, that can be useful to understand generic behaviors in chemical or biological systems in fluid flows. Emphasis is put on the description of observed plankton patchiness in the sea. The linearly decaying tracer, and excitable kinetics in a chaotic flow are mainly the models described. Finally, some warnings are given about the difficulties in modeling discrete individuals (such as planktonic organisms) in terms of continuous concentration fields.Financial support from MCyT (Spain) projects IMAGEN REN2001-0802-C02-01/MAR and CONOCE BFM2000-1108 is greatly acknowledged. C. L. acknowledges support from MECD (Spain).Peer reviewe
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