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...
Збережено в:
| Дата: | 2020 |
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| Автори та афіліації: |
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| Ключові слова: | keywords |
| Автори: | , , , , , , , , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | 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 |
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Репозитарії
Transactions of Institute of Mathematics of NAS of Ukraine| Резюме: | 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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