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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 113–122
(Mi into385)
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This article is cited in 3 scientific papers (total in 3 papers)
Nonlocal Turbulent Diffusion Models
V. V. Uchaikin Ulyanovsk State University
Abstract:
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, anomalous diffusion, fractional Laplacian, Levy–Feldheim distribution, self-similarity.
Citation:
V. V. Uchaikin, “Nonlocal Turbulent Diffusion Models”, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 154, VINITI, Moscow, 2018, 113–122; J. Math. Sci. (N. Y.), 253:4 (2021), 573–582
Linking options:
https://www.mathnet.ru/eng/into385 https://www.mathnet.ru/eng/into/v154/p113
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Abstract page: | 148 | Full-text PDF : | 122 | References: | 15 | First page: | 8 |
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