Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions
We continue our study of 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. We prove theorems on the uniqueness of the generalized solution of this problem and its continuity with...
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5635 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511863424417792 |
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| 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 | 2020-03-19T09:14:58Z |
| description | We continue our study of 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. We prove theorems on the uniqueness of the generalized solution of this problem and its continuity with respect to initial conditions and perturbations. We obtain estimates of exponential type for the decay of solutions (in the mean) for large time. |
| first_indexed | 2026-03-24T03:19:39Z |
| format | Article |
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| id | umjimathkievua-article-5635 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:39Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/76/10b0c8f3e36ccf923ba4d1475d1aa476.pdf |
| spelling | umjimathkievua-article-56352020-03-19T09:14:58Z Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions Трехмерная начально-краевая задача конвекции вязкой слабо сжимаемой жидкоcти. II. Единственность и устойчивость обобщенных решений Moseenkov, V. B. Мосєєнков, В. Б. We continue our study of 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. We prove theorems on the uniqueness of the generalized solution of this problem and its continuity with respect to initial conditions and perturbations. We obtain estimates of exponential type for the decay of solutions (in the mean) for large time. We continue to study the three-dimensional initial-boundary-value problem of convection of viscous thermally inhomogeneous weakly compressible liquid which fills a cavity inside a body. Theorems on uniqueness of a generalized solution of this problem and its continuity with respect to initial conditions and perturbations are proved. Estimates of exponential type are obtained for the decay of solutions (in the mean) for large times. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5635 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1189–1202 Український математичний журнал; Том 46 № 9 (1994); 1189–1202 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5635/7955 https://umj.imath.kiev.ua/index.php/umj/article/view/5635/7956 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. II. Uniqueness and stability of generalized solutions |
| title | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions |
| title_alt | Трехмерная начально-краевая задача конвекции вязкой слабо сжимаемой жидкоcти. II. Единственность и устойчивость обобщенных решений |
| title_full | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions |
| title_fullStr | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions |
| title_full_unstemmed | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions |
| title_short | Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions |
| title_sort | three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. ii. uniqueness and stability of generalized solutions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5635 |
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