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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 9, Pages 1721–1728
(Mi zvmmf9547)
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This article is cited in 4 scientific papers (total in 4 papers)
Excitation of electromagnetic oscillations in a domain with chiral filling
A. N. Bogolyubov, Jiexing Gao, Yu. V. Mukhartova Faculty of Physics, Moscow State University, Moscow, 119992 Russia
Abstract:
The problem of excitation of electromagnetic oscillations by a given distribution of charges and currents in a domain with inhomogeneous chiral filling is examined. The domain in which the problem is considered may either be finite with a perfectly conducting boundary surface or be the complement of a perfectly conducting bounded body. A special functional space is defined on which a generalized initial-boundary value problem is formulated. The Galerkin method is used to prove the existence and uniqueness of a weak solution of this problem.
Key words:
chiral medium, initial-boundary value problem, weak solution, excitation of electromagnetic oscillations, Galerkin method.
Received: 23.03.2011
Citation:
A. N. Bogolyubov, Jiexing Gao, Yu. V. Mukhartova, “Excitation of electromagnetic oscillations in a domain with chiral filling”, Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011), 1721–1728; Comput. Math. Math. Phys., 51:9 (2011), 1614–1621
Linking options:
https://www.mathnet.ru/eng/zvmmf9547 https://www.mathnet.ru/eng/zvmmf/v51/i9/p1721
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