Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II

We develop new methods for the solution of boundary-value problems in the meridian plane of an axisymmetric 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...

Full description

Saved in:
Bibliographic Details
Date:2000
Main Authors: Plaksa, S. A., Плакса, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2000
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4469
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrains’kyi Matematychnyi Zhurnal
Download file: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
_version_ 1860510597140971520
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 2020-03-18T20:29:37Z
description We develop new methods for the solution of boundary-value problems in the meridian plane of an axisymmetric 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 2026-03-24T02:59:31Z
format Article
fulltext 0028 0029 0030 0031 0032 0033 0034 0035 0036 0037
id umjimathkievua-article-4469
institution Ukrains’kyi Matematychnyi Zhurnal
keywords_txt_mv keywords
language rus
English
last_indexed 2026-03-24T02:59:31Z
publishDate 2000
publisher Institute of Mathematics, NAS of Ukraine
record_format ojs
resource_txt_mv umjimathkievua/09/e31ab7bb792e95617a5c6a11b00a2f09.pdf
spelling umjimathkievua-article-44692020-03-18T20:29:37Z Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II Задачи Дирихле для осесимметричиых потенциальных полей в круге меридианной плоскости. II 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 axisymmetric 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 соленоїдального поля, що враховують природу та специфічні особливості осе-симетричних задач. Одержано в явному вигляді розв'язки задач Діріхле для осесиметричного потенціалу та функції течії Стокса в крузі. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4469 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 748–757 Український математичний журнал; Том 52 № 6 (2000); 748–757 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4469/5642 https://umj.imath.kiev.ua/index.php/umj/article/view/4469/5643 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. II
title Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
title_alt Задачи Дирихле для осесимметричиых потенциальных полей в круге меридианной плоскости. II
title_full Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
title_fullStr Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
title_full_unstemmed Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
title_short Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
title_sort dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. ii
url https://umj.imath.kiev.ua/index.php/umj/article/view/4469
work_keys_str_mv AT plaksasa dirichletproblemforaxisymmetricpotentialfieldsinadiskofthemeridianplaneii
AT plaksasa dirichletproblemforaxisymmetricpotentialfieldsinadiskofthemeridianplaneii
AT plaksasa dirichletproblemforaxisymmetricpotentialfieldsinadiskofthemeridianplaneii
AT plaksasa zadačidirihledlâosesimmetričiyhpotencialʹnyhpolejvkrugemeridiannojploskostiii
AT plaksasa zadačidirihledlâosesimmetričiyhpotencialʹnyhpolejvkrugemeridiannojploskostiii
AT plaksasa zadačidirihledlâosesimmetričiyhpotencialʹnyhpolejvkrugemeridiannojploskostiii