Geodesic
Nonlocal Turbulent Diffusion Models
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 113-122.

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A brief review of the emergence and development of the nonlocal approach to the problem of turbulent diffusion with a discussion of the physical reasons of the nonlocality is given. The main attention is paid to fractional differential operators. In concluding the paper, the author's original results on applications to the diffusion of cosmic rays in the interstellar galactic medium are presented.
Keywords: Brownian motion, fractional Laplacian, Levy–Feldheim distribution, self-similarity.
Mots-clés : anomalous diffusion 
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V. V. Uchaikin. Nonlocal Turbulent Diffusion Models. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 113-122. http://geodesic.mathdoc.fr/item/INTO_2018_154_a13/

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