| Impact of singularity of Navier-Stokes equation upon atmospheric motion equations |
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| 作者姓名： | 施惟慧 王曰朋 |
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| 作者单位： | [1]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China [2]Department of Mathematics, Nanjing University of Information Science ＆ Technology, Nanjing 210044, P. R. China |
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| 基金项目： | 国家自然科学基金;上海市科委资助项目 |
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| 摘 要： | Some conclusions about the smooth function classes stability for the basic system of equations of atmospheric motion and instability for Navier-Stokes equation are summarized. On the basis of this, by taking the basic system of equations of atmospheric motion via Boussinesq approximation as example to explain in detail that the instability about some simplified models of the basic system of equations for atmospheric motion is caused by the instability of Navier-Stokes equation, thereby, a principle to guarantee the stability of simplified equation is drawn in simplifying the basic system of equations.
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| 关 键 词： | Navier-Stokes方程 大气运动方程 奇异性 稳定性 |
| 收稿时间： | 2005-02-16 |
| 修稿时间： | 2006-12-12 |
Impact of singularity of Navier-Stokes equation upon atmospheric motion equations |
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| Shi?Wei-hui,Wang?Yue-peng.Impact of singularity of Navier-Stokes equation upon atmospheric motion equations[J].Applied Mathematics and Mechanics(English Edition),2007,28(5):689-693. |
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| Authors: | Shi Wei-hui Wang Yue-peng |
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| Institution: | 1. Department of Mathematics,Shanghai University,Shanghai 200444, P.R.China
2. Department of Mathematics,Nanjing University of Information Science & Technology, Nanjing 210044,P.R.China |
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| Abstract: | Some conclusions about the smooth function classes stability for the basic system of equations of atmospheric motion and instability for Navier-Stokes equation are summarized. On the basis of this, by taking the basic system of equations of atmospheric motion via Boussinesq approximation as example to explain in detail that the instability about some simplified models of the basic system of equations for atmospheric motion is caused by the instability of Navier-Stokes equation, thereby, a principle to guarantee the stability of simplified equation is drawn in simplifying the basic system of equations. |
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| Keywords: | equations of atmospheric motion Navlet-Stokes equation Boussinesq approximation stability singular equation |
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