Simulation of toroidal and poloidal electromagnetic fields

V. V. Aksenov

Matematičeskoe modelirovanie, Tome 26 (2014) no. 5, pp. 3-24.

Résumé

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.

Détail

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

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