ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Quasistationary electromagnetic fields in inhomogeneous media with non-conductive and low conductive inclusions

A. B. Kalinin1, A. A. Tiukhtina2

AnnotationBoundary value problems for the time-periodic solutions of quasi-stationary magnetic approximation for Maxwell equations are studied. The case of inhomogeneous media containing a conducting, non-conducting and low-conducting inclusions is considered. The asymptotic connection of the solutions of problems with non-conducting and low-conducting inclusions is investigated.
KeywordsMaxwell equations, quasistationary magnetic approximation, periodic solutions, inhomogeneous media, electric and magnetic boundary conditions, non-conducting and low-conducting inclusions

1Associate Professor of Mathematical Physics and Optimal Control Department, Institute of Informational Technology, Mathematics and Mechanics, Lobachevsky State University, Nizhny Novgorod; avk@mm.unn.ru

2Associate Professor of Mathematical Modelling of Economical Processes Department, Institute of Economics and Entrepreneurship, Lobachevsky State University, Nizhny Novgorod; kalinmm@yandex.ru

Citation: A. B. Kalinin, A. A. Tiukhtina, "[Quasistationary electromagnetic fields in inhomogeneous media with non-conductive and low conductive inclusions]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:4 (2016) 119–133 (In Russian)