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Teplofizika vysokikh temperatur, 2022, Volume 60, Issue 5, Pages 740–751
DOI: https://doi.org/10.31857/S0040364422040056 (Mi tvt11612) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Heat and Mass Transfer and Physical Gasdynamics

On a fundamental solution to problems of electrostatics and heat conductunce for plane-layered media

A. B. Petrin

Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow
Full-text PDF (303 kB) Citations (1)
DOI: https://doi.org/10.31857/S0040364422040056
Abstract: The article studies the electrostatic field from a point charge inside or outside a plane-layered medium (a fundamental solution to the problem of electrostatics for plane-layered media). For arbitrary plane-layered media, a solution to the problem is obtained in the form of a one-dimensional integral. Based on the analogy between electrostatics and heat conductunce, the application of the obtained electrostatic solutions to heat conductunce problems is considered.
Received: 05.07.2021
Revised: 27.08.2021
Accepted: 28.09.2021
English version:
High Temperature, 2022, Volume 60, Issue 5, Pages 677–687
DOI: https://doi.org/10.1134/S0018151X22040058
Bibliographic databases:
Document Type: Article
UDC: 537.21;536.2.02
Language: Russian
Citation: A. B. Petrin, “On a fundamental solution to problems of electrostatics and heat conductunce for plane-layered media”, TVT, 60:5 (2022), 740–751; High Temperature, 60:5 (2022), 677–687
Citation in format AMSBIB
\Bibitem{Pet22}
\by A.~B.~Petrin
\paper On a~fundamental solution to problems of electrostatics and heat conductunce for plane-layered media
\jour TVT
\yr 2022
\vol 60
\issue 5
\pages 740--751
\mathnet{http://mi.mathnet.ru/tvt11612}
\crossref{https://doi.org/10.31857/S0040364422040056}
\elib{https://elibrary.ru/item.asp?id=49991224}
\transl
\jour High Temperature
\yr 2022
\vol 60
\issue 5
\pages 677--687
\crossref{https://doi.org/10.1134/S0018151X22040058}
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  • https://www.mathnet.ru/eng/tvt/v60/i5/p740
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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