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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 9, Pages 1556–1570
DOI: https://doi.org/10.31857/S004446692109009X (Mi zvmmf11295) 		 
Mathematical physics

Mathematical model of a magnetic tornado

M. B. Gavrikov, A. A. Tayurskiy

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
DOI: https://doi.org/10.31857/S004446692109009X
Abstract: A mathematical model of a magnetic tornado in a magnetohydrodynamic plasma, based on the apparatus of continuum mechanics and Maxwell’s electrodynamics, is proposed. In the context of two specific examples, the mutual influence of plasma and magnetic field dynamics, which gives rise to a magnetic tornado, is studied. Of particular interest is the interaction of a plasma and a magnetic field when an ideal plasma moves along the magnetic field lines. In this case, the study of a magnetic tornado is reduced to a purely hydrodynamic case of a tornado in atmospheric air. The numerical results obtained give theoretical confirmation of the existence of vortical formations observed in the chromosphere of the solar plasma, identified with a magnetic super-tornado.
Key words: magnetic tornado, magnetic antitornado, cyclone, anticyclone, relaxation method.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2019-1623
This work was supported by the Moscow Center for Fundamental and Applied Mathematics, agreement with the Ministry of Science and Higher Education of the Russian Federation no. 075-15-2019-1623.
Received: 04.09.2020
Revised: 27.02.2021
Accepted: 09.04.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 9, Pages 1532–1545
DOI: https://doi.org/10.1134/S0965542521090086
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. B. Gavrikov, A. A. Tayurskiy, “Mathematical model of a magnetic tornado”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1556–1570; Comput. Math. Math. Phys., 61:9 (2021), 1532–1545
Citation in format AMSBIB
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\paper Mathematical model of a magnetic tornado
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 9
\pages 1556--1570
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\crossref{https://doi.org/10.31857/S004446692109009X}
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\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 9
\pages 1532--1545
\crossref{https://doi.org/10.1134/S0965542521090086}
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