Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions
The study of an axially-symmetric problem on the convection of a viscous, thermally inhomogeneous, weakly compressible fluid which fills a cavity in a solid is continued. A theorem on the continuous dependence of its generalized solutions on the initial conditions and on the perturbations is proved....
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| Date: | 1991 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9311 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865795223043440640 |
|---|---|
| author | Moseenkov , V. B. Мосеенков , В. Б. |
| author_facet | Moseenkov , V. B. Мосеенков , В. Б. |
| author_institution_txt_mv | [
{
"author": "В. Б. Мосеенков ",
"institution": "Ин-т математики АН УССР, Киев"
}
] |
| author_sort | Moseenkov , V. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | The study of an axially-symmetric problem on the convection of a viscous, thermally inhomogeneous, weakly compressible fluid which fills a cavity in a solid is continued. A theorem on the continuous dependence of its generalized solutions on the initial conditions and on the perturbations is proved. Bounds of exponential type are obtained which characterize the decay of the solutions (in the mean) for large values of the time. |
| first_indexed | 2026-03-24T03:45:31Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9311 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:31Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-93112025-06-19T08:20:09Z Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions Начально-краевая задача конвекции вязкой слабо сжимаемой жидкости при наличии осевой симметрии. ІІ. Устойчивость обобщенных решений Moseenkov , V. B. Мосеенков , В. Б. The study of an axially-symmetric problem on the convection of a viscous, thermally inhomogeneous, weakly compressible fluid which fills a cavity in a solid is continued. A theorem on the continuous dependence of its generalized solutions on the initial conditions and on the perturbations is proved. Bounds of exponential type are obtained which characterize the decay of the solutions (in the mean) for large values of the time. Продолжается исследование осесимметричной задачи конвекции вязкой термически неоднородной слабо сжимаемой жидкости, заполняющей полость в твердом теле. Доказана теорема о непрерывной зависимости ее обобщенных решений от начальных условий и возмущений. Получены оценки экспоненциального типа, характеризующие затухание решений (в среднем) при больших значениях времени. Продовжується дослідження осесиметричної задачі конвекції в'язкої термічно неоднорідної слабо стисливої рідини, що заповнює порожнину в твердому тілі. Доведена теорема про неперервну залежність її узагальнених розв’язків від початкових умов та збурень. Одержані оцінки експоненціального типу,які характеризують затухання розв'язків (у середньому) при великих значеннях часу. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9311 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 99-105 Український математичний журнал; Том 43 № 1 (1991); 99-105 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9311/10486 Copyright (c) 1991 В. Б. Мосеенков |
| spellingShingle | Moseenkov , V. B. Мосеенков , В. Б. Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions |
| title | Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions |
| title_alt | Начально-краевая задача конвекции вязкой слабо сжимаемой жидкости при наличии осевой симметрии. ІІ. Устойчивость обобщенных решений |
| title_full | Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions |
| title_fullStr | Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions |
| title_full_unstemmed | Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions |
| title_short | Initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. II. Stability of generalized solutions |
| title_sort | initial-boundary problem of the convection of viscous weakly-compressible liquid with presence of axial symmetry. ii. stability of generalized solutions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9311 |
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