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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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Datum:2020
Автори та афіліації:
  • Yu.F. Didenko — Kyiv National University of Trade and Economics
  • V.I. Denisenko
  • O.K. Schetinina
Ключові слова:keywords
Hauptverfasser: 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: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/441
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
Завантажити файл: Pdf

Institution

Transactions of Institute of Mathematics of NAS of Ukraine
Beschreibung
Zusammenfassung: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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