Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability
By using asymptotic methods, we study the three-dimensional initial boundary-value problem of the convection of a viscous thermally inhomogeneous weakly compressible fluid which fills a cavity in a solid body. A theorem about the global solvability of this problem (with respect to time) is proved. F...
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| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5716 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511940692934656 |
|---|---|
| author | Moseenkov, V. B. Мосєєнков, В. Б. |
| author_facet | Moseenkov, V. B. Мосєєнков, В. Б. |
| author_sort | Moseenkov, V. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | By using asymptotic methods, we study the three-dimensional initial boundary-value problem of the convection of a viscous thermally inhomogeneous weakly compressible fluid which fills a cavity in a solid body. A theorem about the global solvability of this problem (with respect to time) is proved. For solving this problem, we suggest a convergent iteration process of a special form. |
| first_indexed | 2026-03-24T03:20:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5716 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:20:53Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a9/e14b356ca002e03ff3aec901df189fa9.pdf |
| spelling | umjimathkievua-article-57162020-03-19T09:16:22Z Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability Трехмерная начально-краевая задача конвекции вязкой слабо сжимаемой жидкости. I. Разрешимость в целом Moseenkov, V. B. Мосєєнков, В. Б. By using asymptotic methods, we study the three-dimensional initial boundary-value problem of the convection of a viscous thermally inhomogeneous weakly compressible fluid which fills a cavity in a solid body. A theorem about the global solvability of this problem (with respect to time) is proved. For solving this problem, we suggest a convergent iteration process of a special form. За допомогою асимптотичних методів досліджується тривимірна початково-крайова задача конвекції в'язкої термічно неоднорідної слабко стисливої рідини, що заповнює порожнину в твердому тілі. Доведена теорема про її розв'язність у цілому (за часом). Для розв'язування задачі запропонований збіжний ітераційний процес спеціального вигляду. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5716 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 524–536 Український математичний журнал; Том 46 № 5 (1994); 524–536 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5716/8117 https://umj.imath.kiev.ua/index.php/umj/article/view/5716/8118 Copyright (c) 1994 Moseenkov V. B. |
| spellingShingle | Moseenkov, V. B. Мосєєнков, В. Б. Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability |
| title | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability |
| title_alt | Трехмерная начально-краевая задача конвекции вязкой слабо сжимаемой жидкости. I. Разрешимость в целом |
| title_full | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability |
| title_fullStr | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability |
| title_full_unstemmed | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability |
| title_short | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability |
| title_sort | three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. i. global solvability |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5716 |
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