| STABILITY OF SYSTEM OF TWO-DIMENSIONAL NON-HYDROSTATIC REVOLVING FLUIDS |
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| 作者姓名： | 沈春 王曰朋 施惟慧 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072，P. R. China，Shanghai Institute of Applied Mathematics and Mechanics Shanghai University，Shanghai 200072，P. R. China，Department of Mathematics Shanghai University，Shanghai 200444，P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos.40175014, 90411006） |
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| 摘 要： | Applying the theory of stratification, it is proved that the system of the two-dimensional non-hydrostatic revolving fluids is unstable in the two-order continuous function class. The construction of solution space is given and the solution approach is offered. The sufficient and necessary conditions of the existence of formal solutions are expressed for some typical initial and boundary value problems and the calculating formulae to formal solutions are presented in detail.
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| 关 键 词： | 稳定性 二维非静水旋流体 Boussinesq方程 边界价值问题 非线性偏微分方程 |
| 收稿时间： | 2004-06-30 |
| 修稿时间： | 2005-12-01 |
Stability of system of two-dimensional non-hydrostatic revolving fluids |
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| Chun Shen,Yue-peng Wang,Wei-hui Shi.STABILITY OF SYSTEM OF TWO-DIMENSIONAL NON-HYDROSTATIC REVOLVING FLUIDS[J].Applied Mathematics and Mechanics(English Edition),2006,27(3):317-325. |
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| Authors: | Chun Shen Yue-peng Wang Wei-hui Shi |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
2. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | Applying the theory Of stratification, it is proved that the system of the two-dimensional non-hydrostatic revolving fluids is unstable in the two-order continuous function class. The construction of solution space is given and the solution approach is offered. The sufficient and necessary conditions of the existence of formal solutions are expressed for some typical initial and boundary value problems and the calculating formulae to formal solutions are presented in detail. |
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| Keywords: | Boussinesq equations stability initial or boundary value problem stratification |
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