| On the Free Boundary to the Incompressible Euler Equations |
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| 引用本文： | Ye-min Chen. On the Free Boundary to the Incompressible Euler Equations[J]. 应用数学学报(英文版), 2005, 21(3): 389-398. DOI: 10.1007/s10255-005-0246-7 |
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| 作者姓名： | Ye-min Chen |
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| 作者单位： | [1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China |
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| 摘 要： |
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| 关 键 词： | Euler方程 自由边界 非旋转流度 能量函数 |
| 收稿时间： | 2003-06-26 |
| 修稿时间： | 2003-06-26 |
On the Free Boundary to the Incompressible Euler Equations |
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| Ye-min Chen. On the Free Boundary to the Incompressible Euler Equations[J]. Acta Mathematicae Applicatae Sinica, 2005, 21(3): 389-398. DOI: 10.1007/s10255-005-0246-7 |
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| Authors: | Ye-min Chen |
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| Affiliation: | (1) Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, China |
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| Abstract: | In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R^3 with free boundary. Motivated by [1], we find that in this particular case, we do not need the complicated energy functional in [1], instead we can use a simpler replacement and get the a priori energy estimate for a positive time, which depends only on the initial data. |
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| Keywords: | Incompressible Euler equation free boundary a priori estimate. |
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