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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 8, Pages 1408–1421
DOI: https://doi.org/10.31857/S0044466920080104 (Mi zvmmf11120) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Darwin approximation for the system of Maxwell's equations in inhomogeneous conducting media

A. V. Kalinina, A. A. Tyukhtinab

a Lobachevsky University, Mathematical Center, Nizhny Novgorod, 603950 Russia
b Institute of Applied Physics, Nizhny Novgorod, 603950 Russia
Citations (4)
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DOI: https://doi.org/10.31857/S0044466920080104
Abstract: A quasi-stationary Darwin approximation for the system of Maxwell's equations in inhomogeneous conducting media is studied. An existence and uniqueness theorem for the initial-boundary value problem for the resulting system of differential equations is proved. Estimates of the proximity between the solutions of the quasi-stationary problem under consideration and the corresponding nonstationary problem, depending on the characteristic values of the data, are presented.
Key words: system of Maxwell's equations, quasi-stationary approximation, Darwin approximation, inhomogeneous media.
Funding agency
This work was supported by a grant from the Russian Science Foundation, project no. 18-77-10061.
Received: 15.02.2020
Revised: 15.02.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 8, Pages 1361–1374
DOI: https://doi.org/10.1134/S0965542520080102
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. V. Kalinin, A. A. Tyukhtina, “Darwin approximation for the system of Maxwell's equations in inhomogeneous conducting media”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1408–1421; Comput. Math. Math. Phys., 60:8 (2020), 1361–1374
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v60/i8/p1408
    Erratum
    • Поправка
      A. V. Kalinin, A. A. Tyukhtina
      Zh. Vychisl. Mat. Mat. Fiz., 2020, 60:11, 2012
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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