On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II
We obtain new integral representations for an axisymmetric potential and the Stokes flow function in an arbitrary simply-connected domain of the meridian plane. The boundary properties of these integral representations are studied for domains with closed rectifiable Jordan boundary.
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| Date: | 2001 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4300 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510431194382336 |
|---|---|
| author | Plaksa, S. A. Плакса, С. А. |
| author_facet | Plaksa, S. A. Плакса, С. А. |
| author_sort | Plaksa, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:59Z |
| description | We obtain new integral representations for an axisymmetric potential and the Stokes flow function in an arbitrary simply-connected domain of the meridian plane. The boundary properties of these integral representations are studied for domains with closed rectifiable Jordan boundary. |
| first_indexed | 2026-03-24T02:56:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4300 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:56:53Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/84/fdef5e4fe5aea75fe24a6ebb64277784.pdf |
| spelling | umjimathkievua-article-43002020-03-18T20:25:59Z On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II Об интегральных представлениях осесимметричного потенциала и функции тока Стокса в областях меридианной плоскости. II Plaksa, S. A. Плакса, С. А. We obtain new integral representations for an axisymmetric potential and the Stokes flow function in an arbitrary simply-connected domain of the meridian plane. The boundary properties of these integral representations are studied for domains with closed rectifiable Jordan boundary. Одержано нові інтегральні зображення осесиметричпого потенціалу та функції течії Стокса в довільній однозв'язгіій області меридіанної площини. Для областей із замкненою спрямлювапою жордановою межею, досліджуються межові властивості цих інтегральних зображень. Institute of Mathematics, NAS of Ukraine 2001-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4300 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 6 (2001); 800-809 Український математичний журнал; Том 53 № 6 (2001); 800-809 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4300/5304 https://umj.imath.kiev.ua/index.php/umj/article/view/4300/5305 Copyright (c) 2001 Plaksa S. A. |
| spellingShingle | Plaksa, S. A. Плакса, С. А. On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II |
| title | On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II |
| title_alt | Об интегральных представлениях осесимметричного потенциала и функции тока Стокса в областях меридианной плоскости. II |
| title_full | On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II |
| title_fullStr | On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II |
| title_full_unstemmed | On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II |
| title_short | On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II |
| title_sort | on integral representations of an axisymmetric potential and the stokes flow function in domains of the meridian plane. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4300 |
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