| Navier-Stokes方程与Euler方程的稳定性比较 |
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| 引用本文： | 施惟慧,王曰朋,沈春.Navier-Stokes方程与Euler方程的稳定性比较[J].应用数学和力学,2006,27(9):1101-1107. |
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| 作者姓名： | 施惟慧 王曰朋 沈春 |
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| 作者单位： | 上海大学 数学系,上海 200444;2.上海市应用数学和力学研究所 上海市应用数学和力学研究所,上海 200072;3.南京信息工程大学 数学系,南京 210044;4.烟台师范学院 数学与信息学院,山东烟台 264025 |
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| 摘 要： | 比较了Navier-Stokes 方程和Euler方程的稳定性；并以它们的典型初值问题为例，分析了Navier-Stokes方程和Euler方程稳定性不同的原因．
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| 关 键 词： | Navier-Stokes方程 Euler 方程 稳定方程 奇异方程 |
| 文章编号： | 1000-0887（2006）09-1101-07 |
| 收稿时间： | 2005-10-21 |
| 修稿时间： | 2006-05-27 |
Comparison of Stability Between Navier-Stokes and Euler Equations |
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| SHI Wei-hui,WANG Yue-peng,SHEN Chun.Comparison of Stability Between Navier-Stokes and Euler Equations[J].Applied Mathematics and Mechanics,2006,27(9):1101-1107. |
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| Authors: | SHI Wei-hui WANG Yue-peng SHEN Chun |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China; |
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| Abstract: | The stabilities about Navier-Stokes equation and Euler equation were brought into comparison; and by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes and Euler equations was also analyzed. |
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| Keywords: | Navier-Stokes equation Euler equation stable equation singular equation |
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