Abstract:
In this paper, we discuss various formulations of mathematical problems arising in the description of the global electric circuit in the Earth's atmosphere. We consider initial-boundary-value problems for the nonstationary system of Maxwell equations, the system of Maxwell equations in the nonrelativistic electric approximation, and for the system of Maxwell equations in the quasistationary approximation generalizing the nonrelativistic electric and magnetic approximations.
Keywords:
atmospheric electricity, global electric circuit, system of Maxwell equations, quasi-stationary approximation.
This work was supported by the Ministry of Education and Science of the Russian Federation within the framework of the Regional scientific and educational mathematical center “Mathematics of Future Technologies.”
Citation:
A. V. Kalinin, A. A. Tyukhtina, “Some mathematical problems of atmospheric electricity”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207, VINITI, Moscow, 2022, 48–60
\Bibitem{KalTyu22}
\by A.~V.~Kalinin, A.~A.~Tyukhtina
\paper Some mathematical problems of atmospheric electricity
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 207
\pages 48--60
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into978}
\crossref{https://doi.org/10.36535/0233-6723-2022-207-48-60}
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https://www.mathnet.ru/eng/into978
https://www.mathnet.ru/eng/into/v207/p48
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