On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics
The first boundary-value problem for a system of equations of magnetic hydrodynamics in a cylinder of infinite length with ideally conducting surface is considered under conditions in the case where it has a two-dimensional solution. Sufficient conditions are obtained for the problem linearized in t...
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| Date: | 1995 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5400 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511631042150400 |
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| author | Britov, N. A. Бритов, Н. А. Бритов, Н. А. |
| author_facet | Britov, N. A. Бритов, Н. А. Бритов, Н. А. |
| author_sort | Britov, N. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:41Z |
| description | The first boundary-value problem for a system of equations of magnetic hydrodynamics in a cylinder of infinite length with ideally conducting surface is considered under conditions in the case where it has a two-dimensional solution. Sufficient conditions are obtained for the problem linearized in the neighborhood of this solution to have the trivial solution. |
| first_indexed | 2026-03-24T03:15:57Z |
| format | Article |
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| id | umjimathkievua-article-5400 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:57Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ad/668ac6107efc74d17c1c6c78ed0260ad.pdf |
| spelling | umjimathkievua-article-54002020-03-19T08:58:41Z On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics Об условии тривиальности ядра линеаризованной первой краевой задачи для системы уравнений магнитной гидродинамики Britov, N. A. Бритов, Н. А. Бритов, Н. А. The first boundary-value problem for a system of equations of magnetic hydrodynamics in a cylinder of infinite length with ideally conducting surface is considered under conditions in the case where it has a two-dimensional solution. Sufficient conditions are obtained for the problem linearized in the neighborhood of this solution to have the trivial solution. Розглянуто першу крайову задачу для системи рівнянь магнітної гідродинаміки у нескінченно довгому циліндрі з поверхнею, що є ідеальним провідником, при умовах, коли вона має плоский розв'язок. Для лінеаризованої в околі цього розв'язку задачі одержано достатні умови, при виконанні яких вона має тривіальний розв'язок. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5400 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 168–173 Український математичний журнал; Том 47 № 2 (1995); 168–173 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5400/7489 https://umj.imath.kiev.ua/index.php/umj/article/view/5400/7490 Copyright (c) 1995 Britov N. A. |
| spellingShingle | Britov, N. A. Бритов, Н. А. Бритов, Н. А. On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| title | On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| title_alt | Об условии тривиальности ядра линеаризованной первой краевой задачи
для системы уравнений магнитной гидродинамики |
| title_full | On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| title_fullStr | On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| title_full_unstemmed | On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| title_short | On the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| title_sort | on the triviality condition for the kernel of the linearized first boundary-value problem for a system of equations of magnetic hydrodynamics |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5400 |
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