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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 62–71 (Mi into379)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling of Evolution of Cloud Drops Taking into Account the Influence of the Fractal Structure of Clouds

T. S. Kumykov

Institute of Applied Mathematics and Automation, Nalchik
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Abstract: Based of a differential equation of fractional order, we examine the influence of the fractal structure of the environment on the growth of small cloud drops at the initial stage of the cloud evolution caused by the condensation and the gravitational coagulation of drops. We construct a model of electrodynamic coagulation of drops in the cloud environment with fractal structure under the action of an electric field. Numerical experiments were carried out to estimate the influence of the fractal structure of the environment on the growth of cloud particles for various combinations of microphysical parameters. The general dependence of the growth of cloud particles on various parameters of the fractal structure is determined.
Keywords: cloud drop, fractal dimension, mathematical model, convective cloud.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 253, Issue 4, Pages 520–529
DOI: https://doi.org/10.1007/s10958-021-05249-x
Bibliographic databases:
Document Type: Article
UDC: 517.958:[550.3+551.5]
MSC: 86À10
Language: Russian
Citation: T. S. Kumykov, “Mathematical Modeling of Evolution of Cloud Drops Taking into Account the Influence of the Fractal Structure of Clouds”, 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, 62–71; J. Math. Sci. (N. Y.), 253:4 (2021), 520–529
Citation in format AMSBIB
\Bibitem{Kum18}
\by T.~S.~Kumykov
\paper Mathematical Modeling of Evolution of Cloud Drops Taking into Account the Influence of the Fractal Structure of Clouds
\inbook Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 154
\pages 62--71
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into379}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3904968}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 253
\issue 4
\pages 520--529
\crossref{https://doi.org/10.1007/s10958-021-05249-x}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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