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
This paper deals with two well-known physical mathematical problems. One of them is theoretical and concerns the excitation of the Earth’s 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 Earth’s 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 Schmidt’s publications. Physical and mathematical approaches to solving the above-named problems differ. Therefore the main objective of the author’s works published is to unite such approaches based on toroidal and poloidal electric fields from toroidal electric currents.
simulation of toroidal electric currents and fields, theorems of existence of fields and currents.
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V. V. Aksenov, “Simulation of toroidal and poloidal electromagnetic fields”, Matem. Mod., 26:5 (2014), 3–24
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\paper Simulation of toroidal and poloidal electromagnetic fields
\jour Matem. Mod.
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This publication is cited in the following articles:
V. V. Aksenov, “Modelirovanie magnitnogo polya istochnikov, nakhodyaschikhsya v share i vne ego”, Matem. modelirovanie, 27:8 (2015), 111–126
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
Aksenov V.V., “Non-Force and Force Electromagnetic Fields”, Russ. Phys. J., 59:3 (2016), 319–327
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