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 and is in irrotat...
Збережено в:
| Дата: | 2001 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2001
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/174760 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-174760 |
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dspace |
| spelling |
irk-123456789-1747602021-01-28T01:27:24Z On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel Zolotenko, G.F. 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. 2001 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/174760 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Zolotenko, G.F. |
| spellingShingle |
Zolotenko, G.F. On solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel Нелінійні коливання |
| author_facet |
Zolotenko, G.F. |
| author_sort |
Zolotenko, G.F. |
| title |
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_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_sort |
on solutions of general nonlinear initial boundary-value problem of inviscid fluid's dynamics in moving vessel |
| publisher |
Інститут математики НАН України |
| publishDate |
2001 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/174760 |
| 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. |
| series |
Нелінійні коливання |
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