| On the Free Boundary to the Incompressible Euler Equations |
| |
| 作者姓名： | Ye-min Chen |
| |
| 作者单位： | [1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China |
| |
| 摘 要： |
|
| 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 |
| |
| Ye-min Chen.On the Free Boundary to the Incompressible Euler Equations[J].Acta Mathematicae Applicatae Sinica,2005,21(3):389-398. |
| |
| Authors: | Ye-min Chen |
| |
| Institution: | (1) Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, China |
| |
| 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. |
| |
| Keywords: | Incompressible Euler equation free boundary a priori estimate |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
|
