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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 304, Pages 167–173
DOI: https://doi.org/10.4213/tm3965 (Mi tm3965) 		 
Fractal Theory of Saturn's Ring. II: Electromagnetic Phenomena

M. I. Zelikinab

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm3965
Abstract: This article is a continuation of the author's previous paper of 2015. It deals with electromagnetic phenomena in a model of a flat two-dimensional ring with a given law of differential rotation. The reasons of high electromagnetic activity in Saturn's ring are discussed. In parallel with the discussion, it is shown that similar reasons can clarify other processes such as the charging of thunderclouds. New aspects in the theory of magnetic fields of planets are also proposed.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00809
This work was supported by the Russian Foundation for Basic Research, project no. 17-01-00809.
Received: September 12, 2018
Revised: December 17, 2018
Accepted: December 17, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 304, Pages 153–159
DOI: https://doi.org/10.1134/S0081543819010115
Bibliographic databases:
Document Type: Article
UDC: 523.46
Language: Russian
Citation: M. I. Zelikin, “Fractal Theory of Saturn's Ring. II: Electromagnetic Phenomena”, Optimal control and differential equations, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 304, Steklov Math. Inst. RAS, Moscow, 2019, 167–173; Proc. Steklov Inst. Math., 304 (2019), 153–159
Citation in format AMSBIB
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\paper Fractal Theory of Saturn's Ring. II: Electromagnetic Phenomena
\inbook Optimal control and differential equations
\bookinfo Collected papers. On the occasion of the 110th anniversary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 304
\pages 167--173
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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