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...
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| Date: | 2001 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2001
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.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| Summary: | 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. |
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