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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 220, Number 3, Pages 578–590
DOI: https://doi.org/10.4213/tmf10726 (Mi tmf10726) 		 
Exact solution of the problem of the interaction between a point charge and an insulator with nonlinear susceptibility

A. A. Belovab, M. A. Tintula, P. A. Polyakova

a Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia
b Faculty of Physics, Mathematics, and Natural Sciences, Peoples' Friendship University, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10726
Abstract: We construct a new exact solution of the problem of a filament placed parallel to the interface between two insulators, one of which has a nonlinear susceptibility.
Keywords: electrostatics of insulators, nonlinear susceptibility, exact solution, quadratures.
Funding agency Grant number
Russian Science Foundation 22-71-00028
This work was supported by the Russian Science Foundation under grant No. 22-71-00028, https://rscf.ru/en/project/22-71-00028/.
Received: 21.03.2024
Revised: 01.05.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 220, Issue 3, Pages 1556–1566
DOI: https://doi.org/10.1134/S0040577924090095
Document Type: Article
Language: Russian
Citation: A. A. Belov, M. A. Tintul, P. A. Polyakov, “Exact solution of the problem of the interaction between a point charge and an insulator with nonlinear susceptibility”, TMF, 220:3 (2024), 578–590; Theoret. and Math. Phys., 220:3 (2024), 1556–1566
Citation in format AMSBIB
\Bibitem{BelTinPol24}
\by A.~A.~Belov, M.~A.~Tintul, P.~A.~Polyakov
\paper Exact solution of the~problem of the~interaction between a~point charge and an~insulator with nonlinear susceptibility
\jour TMF
\yr 2024
\vol 220
\issue 3
\pages 578--590
\mathnet{http://mi.mathnet.ru/tmf10726}
\crossref{https://doi.org/10.4213/tmf10726}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 220
\issue 3
\pages 1556--1566
\crossref{https://doi.org/10.1134/S0040577924090095}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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