Analyticity of a free boundary in one problem of axisymmetric flow

We prove the solvability of a boundary-value problem in the case where the Bernoulli condition is given on a free boundary in the form of an inequality. We establish the analyticity of the free boundary.

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Date:1998
Main Authors: Minenko, A. S., Миненко, А. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4789
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Minenko, A. S.
Миненко, А. С.
Миненко, А. С.
author_facet Minenko, A. S.
Миненко, А. С.
Миненко, А. С.
author_sort Minenko, A. S.
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datestamp_date 2020-03-18T21:14:27Z
description We prove the solvability of a boundary-value problem in the case where the Bernoulli condition is given on a free boundary in the form of an inequality. We establish the analyticity of the free boundary.
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spelling umjimathkievua-article-47892020-03-18T21:14:27Z Analyticity of a free boundary in one problem of axisymmetric flow Аналитичность свободной границы в одной задаче осесимметричного течения Minenko, A. S. Миненко, А. С. Миненко, А. С. We prove the solvability of a boundary-value problem in the case where the Bernoulli condition is given on a free boundary in the form of an inequality. We establish the analyticity of the free boundary. Доведена розв'язність граничної задачі, коли на вільній границі задана умова Бернуллі у вигляді нерівності. Встановлена апалітичність вільної границі. Institute of Mathematics, NAS of Ukraine 1998-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4789 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 12 (1998); 1692–1700 Український математичний журнал; Том 50 № 12 (1998); 1692–1700 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4789/6278 https://umj.imath.kiev.ua/index.php/umj/article/view/4789/6279 Copyright (c) 1998 Minenko A. S.
spellingShingle Minenko, A. S.
Миненко, А. С.
Миненко, А. С.
Analyticity of a free boundary in one problem of axisymmetric flow
title Analyticity of a free boundary in one problem of axisymmetric flow
title_alt Аналитичность свободной границы в одной задаче осесимметричного течения
title_full Analyticity of a free boundary in one problem of axisymmetric flow
title_fullStr Analyticity of a free boundary in one problem of axisymmetric flow
title_full_unstemmed Analyticity of a free boundary in one problem of axisymmetric flow
title_short Analyticity of a free boundary in one problem of axisymmetric flow
title_sort analyticity of a free boundary in one problem of axisymmetric flow
url https://umj.imath.kiev.ua/index.php/umj/article/view/4789
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