On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel
The problem of integrating the Laplace equation in a changing 3-dimensional region, with the
 initial and boundary conditions, is investigated. The paper is mainly devoted to the problem
 arising in dynamics of an inviscid incompressible fluid which partially fills a moving vessel an...
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| Published in: | Нелінійні коливання |
|---|---|
| Date: | 2001 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/174760 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel / G.F. Zolotenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 560-573. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723414867836928 |
|---|---|
| author | Zolotenko, G.F. |
| author_facet | Zolotenko, G.F. |
| citation_txt | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel / G.F. Zolotenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 560-573. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | The problem of integrating the Laplace equation in a changing 3-dimensional region, with the
initial and boundary conditions, is investigated. The paper is mainly devoted to the problem
arising in dynamics of an inviscid incompressible fluid which partially fills a moving vessel and
is in irrotational absolute motion. In this case the considered space region is bounded by the
rigid vessel’s walls and the unknown free surface of fluid. The boundary conditions consist of
the Neyman conditions on the rigid walls and the nonlinear kinematic and dynamic conditions
on the free surface. Besides, the condition of a constancy of the region’s volume is imposed.
The concept of a solution of this problem is analyzed. One distinguishes a certain class of
solutions and proves their existence. An example of such a solution is given.
|
| first_indexed | 2025-12-07T18:41:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-174760 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | English |
| last_indexed | 2025-12-07T18:41:13Z |
| publishDate | 2001 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Zolotenko, G.F. 2021-01-27T18:03:58Z 2021-01-27T18:03:58Z 2001 On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel / G.F. Zolotenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 560-573. — Бібліогр.: 11 назв. — англ. 1562-3076 AMS Subject Classification: 76B03, 76B07 https://nasplib.isofts.kiev.ua/handle/123456789/174760 The problem of integrating the Laplace equation in a changing 3-dimensional region, with the
 initial and boundary conditions, is investigated. The paper is mainly devoted to the problem
 arising in dynamics of an inviscid incompressible fluid which partially fills a moving vessel and
 is in irrotational absolute motion. In this case the considered space region is bounded by the
 rigid vessel’s walls and the unknown free surface of fluid. The boundary conditions consist of
 the Neyman conditions on the rigid walls and the nonlinear kinematic and dynamic conditions
 on the free surface. Besides, the condition of a constancy of the region’s volume is imposed.
 The concept of a solution of this problem is analyzed. One distinguishes a certain class of
 solutions and proves their existence. An example of such a solution is given. en Інститут математики НАН України Нелінійні коливання On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel Про розв'язки загальної нелінійної початкової граничної задачі динаміки нев'язкої рідини в рухомому об'ємі О решениях общей нелинейной начальной краевой задачи динамики невязкой жидкости в движущемся сосуде Article published earlier |
| spellingShingle | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel Zolotenko, G.F. |
| title | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| title_alt | Про розв'язки загальної нелінійної початкової граничної задачі динаміки нев'язкої рідини в рухомому об'ємі О решениях общей нелинейной начальной краевой задачи динамики невязкой жидкости в движущемся сосуде |
| title_full | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| title_fullStr | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| title_full_unstemmed | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| title_short | On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| title_sort | on solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/174760 |
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