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JOURNALS // Teplofizika vysokikh temperatur // Archive

TVT, 2022 Volume 60, Issue 5, Pages 740–751 (Mi tvt11612)

This article is cited in 3 papers

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

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.

UDC: 537.21;536.2.02

Received: 05.07.2021
Revised: 27.08.2021
Accepted: 28.09.2021

DOI: 10.31857/S0040364422040056


 English version:
High Temperature, 2022, 60:5, 677–687

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© Steklov Math. Inst. of RAS, 2026