Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body |
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| Authors: | V. V. Dyakin S. V. Marvin |
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| Affiliation: | (1) Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 18, Yekaterinburg, 620219, Russia;(2) Ural State Technical University, ul. Mira 19, Yekaterinburg, 620002, Russia |
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| 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. |
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| Keywords: | initial-boundary value problem electrodynamics integrodifferential equations |
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