An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity Full article
| Journal |
Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362 |
||
|---|---|---|---|
| Output data | Year: 2023, Volume: 107, Number: 1, Pages: 53–56 Pages count : 4 DOI: 10.1134/S1064562423700503 | ||
| Tags | nonlinear electrodynamic equations, plane waves, X-ray tomography, uniqueness | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
The inverse problem of determining the variable conductivity coefficient in the system of electrodynamic equations with nonlinear conductivity is considered. The required coefficient is assumed to be a smooth compactly supported function of space variables in . A plane wave with a sharp front traveling from the homogeneous space in some direction ν is incident on an inhomogeneity. The direction is a parameter of the problem. The magnitude of the electric strength vector for some range of incident wave directions and for times close to those at which the wave arrives at points of the ball surface containing the inhomogeneity is given as information for solving the inverse problem. It is shown that this information reduces the inverse problem to an X-ray tomography problem, for which numerical solution algorithms are well developed.
Cite:
Romanov V.G.
An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity
Doklady Mathematics. 2023. V.107. N1. P.53–56. DOI: 10.1134/S1064562423700503 WOS Scopus РИНЦ OpenAlex
An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity
Doklady Mathematics. 2023. V.107. N1. P.53–56. DOI: 10.1134/S1064562423700503 WOS Scopus РИНЦ OpenAlex
Original:
Романов В.Г.
Обратная задача для уравнений электродинамики с нелинейной проводимостью
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2023. Т.509. №1. С.65–68. DOI: 10.31857/S2686954322600719 РИНЦ OpenAlex
Обратная задача для уравнений электродинамики с нелинейной проводимостью
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2023. Т.509. №1. С.65–68. DOI: 10.31857/S2686954322600719 РИНЦ OpenAlex
Dates:
| Submitted: | Nov 29, 2022 |
| Accepted: | Dec 28, 2022 |
Identifiers:
| Web of science: | WOS:001009960500012 |
| Scopus: | 2-s2.0-85161873317 |
| Elibrary: | 61696116 |
| OpenAlex: | W4380490666 |