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Exact solution of the problem of spatial potential theory for two spheres

The problem of theory of potentials for two spherical conductors of the same radius is considered. Using the transformation formulas of harmonic functions for origin of spherical coordinates transfer, an infinite system of algebraic equations is obtained to determine the unknown constants. An approa...

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Bibliographic Details
Date:2020
Author Affiliations:
  • Yu.F. Didenko — Kyiv National University of Trade and Economics
  • V.I. Denisenko
  • O.K. Schetinina
Keywords:keywords
Main Authors: Didenko, Yu.F., Denisenko, V.I., Schetinina, O.K., Диденко, Ю.Ф., Денисенко, В.И., Щетинина, О.К., Діденко, Ю.Ф., Денісенко, В.І., Щетініна, О.К.
Format: Article
Language:Ukrainian
English
Published: Інститут математики НАН України 2020
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/441
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine
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Summary:The problem of theory of potentials for two spherical conductors of the same radius is considered. Using the transformation formulas of harmonic functions for origin of spherical coordinates transfer, an infinite system of algebraic equations is obtained to determine the unknown constants. An approach to study of properties of solutions is proposed. This approach can be applied to the investigation of infinite systems for solving problems of potential theory for several spheres.

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