On a Skewed and Multifractal Unidimensional Random Field, as a Probabilistic Representation of Kolmogorov’s Views on Turbulence-Reference-Cited by-同舟云学术

On a Skewed and Multifractal Unidimensional Random Field, as a Probabilistic Representation of Kolmogorov’s Views on Turbulence

Published:2019-09-28 Issue:11 Volume:20 Page:3693-3741
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Chevillard Laurent,Garban Christophe,Rhodes Rémi,Vargas Vincent

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-019-00842-y.pdf

Reference30 articles.

1. Kolmogorov, A.N.: The local structure of turbulence in a incompressible viscous fluid for very large $$\text{ R }$$eynolds number. Dokl. Akad. Nauk SSSR 30, 299 (1941)

2. Kahane, J.-P.: Sur le chaos multiplicatif. Ann. Sci. Math. Québec 9, 105 (1985)

3. Rhodes, R., Vargas, V.: Gaussian multiplicative chaos and applications: a review. Prob. Surv. 11, 315 (2014)

4. Chevillard, L., Castaing, B., Arneodo, A., Lévêque, E., Pinton, J.-F., Roux, S.: A phenomenological theory of eulerian and lagrangian velocity fluctuations in turbulent flows. C.R. Phys. 13, p. 899 (2012)

5. Frisch, U.: Turbulence. The Legacy of A.N. Kolmogorov. Cambridge University Press, Cambridge (1995)

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