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Matem. Mod., 2014, Volume 26, Number 5, Pages 3–24 (Mi mm3476)  

This article is cited in 3 scientific papers (total in 3 papers)

Simulation of toroidal and poloidal electromagnetic fields

V. V. Aksenov

The Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: This paper deals with two well-known physical mathematical problems. One of them is theoretical and concerns the excitation of the Earths main geomagnetic field using the so-called dynamo mechanism. This problem originates from the works on astrophysics by Parker, Steenbeck, Krause, Zeldovich and some others as applied to the Earths conditions discussed in publications by Bullard, Backus, Moffat. The second problem concerns the development of the theory of physical-mathematical analysis of the data observed by geomagnetic observatories, the world magnetic survey and satellites with the view to revealing the source of the geomagnetic field and its variations from the ground-based observations and originates from Gauss and Schmidts publications. Physical and mathematical approaches to solving the above-named problems differ. Therefore the main objective of the authors works published is to unite such approaches based on toroidal and poloidal electric fields from toroidal electric currents.

Keywords: simulation of toroidal electric currents and fields, theorems of existence of fields and currents.

Full text: PDF file (470 kB)
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Document Type: Article
UDC: 550.37
Received: 21.03.2013

Citation: V. V. Aksenov, “Simulation of toroidal and poloidal electromagnetic fields”, Matem. Mod., 26:5 (2014), 3–24

Citation in format AMSBIB
\Bibitem{Aks14}
\by V.~V.~Aksenov
\paper Simulation of toroidal and poloidal electromagnetic fields
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 5
\pages 3--24
\mathnet{http://mi.mathnet.ru/mm3476}
\elib{http://elibrary.ru/item.asp?id=21826460}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Aksenov, “Modelirovanie magnitnogo polya istochnikov, nakhodyaschikhsya v share i vne ego”, Matem. modelirovanie, 27:8 (2015), 111–126  mathnet  mathscinet  elib
    2. Aksenov V.V., “The toroidal decomposition of the vector potential of a magnetic field and its applications”, Mosc. Univ. Phys. Bull., 70:6 (2015), 558–565  crossref  mathscinet  isi  elib  scopus
    3. Aksenov V.V., “Non-Force and Force Electromagnetic Fields”, Russ. Phys. J., 59:3 (2016), 319–327  crossref  isi  scopus
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