Abstract
The contribution of ANK to the foundation of a statistical theory of fully developed turbulence cannot be overestimated. His fundamental papers radically changed physicists’ approach to the study of turbulence and are still source of inspiration for recent developments in the fields.
The intention of this paper is to give an up-to-date vision of our knowledge about fully developed turbulence, with particular emphasis on the evolution of Kolmogorov’s pioneering ideas. We start from the discussion of what is now called the “Kolmogorov 1941” theory of turbulence and its relation with the state of the art at that time. The second important contribution of Kolmogorov (the ”refined similarity hypothesis” of 1962) is discussed in relation to the Landau objections to the original 1941 theory. The last part of the review is devoted to recent developments and gives a modern view of concepts, such as isotropy and universality of small scale fluctuations, already present in the original papers by ANK.
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© 2003 Springer-Verlag Berlin/Heidelberg
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Biferale, L., Boffetta, G., Castaing, B. (2003). Fully Developed Turbulence. In: Livi, R., Vulpiani, A. (eds) The Kolmogorov Legacy in Physics. Lecture Notes in Physics, vol 636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39668-0_7
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DOI: https://doi.org/10.1007/978-3-540-39668-0_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20307-0
Online ISBN: 978-3-540-39668-0
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