Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I
We develop new methods for the solution of boundary-value problems in the meridian plane of an antisymmetric potential solenoidal field with regard for the nature and specific features of axisymmetric problems. We determine the solutions of the Dirichlet problems for an axisymmetric potential and th...
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| Datum: | 2000 |
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| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4439 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510570054156288 |
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| author | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_facet | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_sort | Plaksa, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:03Z |
| description | We develop new methods for the solution of boundary-value problems in the meridian plane of an antisymmetric potential solenoidal field with regard for the nature and specific features of axisymmetric problems. We determine the solutions of the Dirichlet problems for an axisymmetric potential and the Stokes flow function in a disk in an explicit form. |
| first_indexed | 2026-03-24T02:59:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4439 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:06Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/76/c01fdd542655db284d0b84f9e63dd176.pdf |
| spelling | umjimathkievua-article-44392020-03-18T20:29:03Z Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I Задачи Дирихле для осесимметричпых потенциальных полей в круте меридианной плоскости. I Plaksa, S. A. Плакса, С. А. Плакса, С. А. We develop new methods for the solution of boundary-value problems in the meridian plane of an antisymmetric potential solenoidal field with regard for the nature and specific features of axisymmetric problems. We determine the solutions of the Dirichlet problems for an axisymmetric potential and the Stokes flow function in a disk in an explicit form. Розроблено нові методи розв'язання крайових задач в меридіанній площині осесиметричного потенціального солеіюїдального поля, що враховують природу та специфічні особливості осесиметричних задач. Одержано в явному вигляді розв'язки задач Діріхле для осесиметричного потенціалу та функції течії Стокса в крузі. Institute of Mathematics, NAS of Ukraine 2000-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4439 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 4 (2000); 492-511 Український математичний журнал; Том 52 № 4 (2000); 492-511 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4439/5582 https://umj.imath.kiev.ua/index.php/umj/article/view/4439/5583 Copyright (c) 2000 Plaksa S. A. |
| spellingShingle | Plaksa, S. A. Плакса, С. А. Плакса, С. А. Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I |
| title | Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I |
| title_alt | Задачи Дирихле для осесимметричпых потенциальных полей в круте меридианной плоскости. I |
| title_full | Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I |
| title_fullStr | Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I |
| title_full_unstemmed | Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I |
| title_short | Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I |
| title_sort | dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4439 |
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