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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 2, Pages 288–296 (Mi zvmmf184)  

This article is cited in 5 scientific papers (total in 5 papers)

Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body

V. V. Dyakina, S. V. Marvin

a Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 18, Yekaterinburg, 620219, Russia

Abstract: The initial-boundary value problem of determining the electromagnetic field in an inhomogeneous conducting sample and the surrounding external medium is solved under certain assumptions on the sample, the external medium, and the external current density. The existence of a classical solution to this problem is proved. The electromagnetic field under small variations in the sample's electric conductivity is computed by applying perturbation theory.

Key words: initial-boundary value problem, electrodynamics, integrodifferential equations.

Full text: PDF file (1060 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:2, 275–283

Bibliographic databases:

UDC: 519.642.2
Received: 28.05.2007
Revised: 30.08.2007

Citation: V. V. Dyakin, S. V. Marvin, “Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 288–296; Comput. Math. Math. Phys., 48:2 (2008), 275–283

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sesnic S., Poljak D., Tkachenko S.V., “Time domain analytical modeling of a straight thin wire buried in a lossy medium”, Progress in Electromagnetics Research, 121 (2011), 485–504  crossref  isi  elib  scopus
    2. Berenguer M.I., Fernández Muñoz M.V., Garralda-Guillem A.I., Ruiz Galán M., “A sequential approach for solving the Fredholm integro-differential equation”, Appl. Numer. Math., 62:4 (2012), 297–304  crossref  mathscinet  zmath  isi  elib  scopus
    3. Marvin S.V., “Initial-boundary value problem of electromagnetic testing of a flawed ferromagnetic conductor by the residual field of an instantaneously cut-off current”, Russ. J. Nondestr. Test., 52:11 (2016), 638–646  crossref  isi  scopus
    4. Marvin S.V., “An initial-boundary value problem of structurescopy of a nonferromagnetic metal solid with foreign dielectric inclusions using the residual field of an instantaneously cut-off extraneous current”, Russ. J. Nondestr. Test., 52:2 (2016), 85–94  crossref  isi  elib  scopus
    5. S. V. Marvin, “Nachalno-kraevaya zadacha dlya odnorodnoi sistemy uravnenii Maksvella v sluchae magnitodielektricheskogo tela s provodyaschimi ferromagnitnymi vklyucheniyami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2017, no. 47, 22–36  mathnet  crossref  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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