Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane
We develop a method for the reduction of the Dirichlet problem for the Stokes flow function in a simply-connected domain of the meridian plane to the Cauchy singular integral equation. For the case where the boundary of the domain is smooth and satisfies certain additional conditions, the regulariza...
Saved in:
| Date: | 2003 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3900 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510032046587904 |
|---|---|
| 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 | 2020-03-18T20:14:50Z |
| description | We develop a method for the reduction of the Dirichlet problem for the Stokes flow function in a simply-connected domain of the meridian plane to the Cauchy singular integral equation. For the case where the boundary of the domain is smooth and satisfies certain additional conditions, the regularization of the indicated singular integral equation is carried out. |
| first_indexed | 2026-03-24T02:50:32Z |
| format | Article |
| fulltext |
0053
0054
0055
0056
0057
0058
0059
0060
0061
0062
0063
0064
0065
0066
0067
0068
0069
0070
0071
0072
0073
0074
0075
0076
0077
0078
0079
0080
0081
0082
0083
0084
0085
0086
0087
|
| id | umjimathkievua-article-3900 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:50:32Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/97/cb30fbe5b5c2087d1aca5cacc17f6197.pdf |
| spelling | umjimathkievua-article-39002020-03-18T20:14:50Z Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane Задача Дирихле для функции тока Стокса в одиосвязной области меридианной плоскости Plaksa, S. A. Плакса, С. А. Плакса, С. А. We develop a method for the reduction of the Dirichlet problem for the Stokes flow function in a simply-connected domain of the meridian plane to the Cauchy singular integral equation. For the case where the boundary of the domain is smooth and satisfies certain additional conditions, the regularization of the indicated singular integral equation is carried out. Розроблено метод редукції задачі Діріхле для функції течії Стокса в однозв'язній області меридіанної площини до сингулярного інтегрального рівняння Коші. У випадку гладкої межі області, що задовольняє деякі додаткові умови, здійснено регуляризацію вказаного сингулярного і ІтегралЬного рівняння. Institute of Mathematics, NAS of Ukraine 2003-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3900 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 2 (2003); 197-231 Український математичний журнал; Том 55 № 2 (2003); 197-231 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3900/4515 https://umj.imath.kiev.ua/index.php/umj/article/view/3900/4516 Copyright (c) 2003 Plaksa S. A. |
| spellingShingle | Plaksa, S. A. Плакса, С. А. Плакса, С. А. Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane |
| title | Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane |
| title_alt | Задача Дирихле для функции тока Стокса в одиосвязной области меридианной плоскости |
| title_full | Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane |
| title_fullStr | Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane |
| title_full_unstemmed | Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane |
| title_short | Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane |
| title_sort | dirichlet problem for the stokes flow function in a simply-connected domain of the meridian plane |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3900 |
| work_keys_str_mv | AT plaksasa dirichletproblemforthestokesflowfunctioninasimplyconnecteddomainofthemeridianplane AT plaksasa dirichletproblemforthestokesflowfunctioninasimplyconnecteddomainofthemeridianplane AT plaksasa dirichletproblemforthestokesflowfunctioninasimplyconnecteddomainofthemeridianplane AT plaksasa zadačadirihledlâfunkciitokastoksavodiosvâznojoblastimeridiannojploskosti AT plaksasa zadačadirihledlâfunkciitokastoksavodiosvâznojoblastimeridiannojploskosti AT plaksasa zadačadirihledlâfunkciitokastoksavodiosvâznojoblastimeridiannojploskosti |