| 二维非静力旋转流体方程组的稳定性 |
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| 引用本文： | 沈春,王曰朋,施惟慧. 二维非静力旋转流体方程组的稳定性[J]. 应用数学和力学, 2006, 27(3): 285-292 |
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| 作者姓名： | 沈春 王曰朋 施惟慧 |
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| 作者单位： | 上海大学 上海市应用数学和力学研究所,上海 200072;2.上海大学 数学系,上海 200444 |
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| 摘 要： | 应用分层理论所提供的方法，证明了二维非静力Boussinesq近似的旋转流体方程组在二阶连续函数类中是一个不稳定性的方程．并给出方程组的形式解解空间构造和求解方法．对某些典型的初边值问题，给出了判断其是否存在形式解的充分必要条件以及计算形式解的具体的计算公式．
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| 关 键 词： | Boussinesq方程组 稳定性 初边值问题 分层 |
| 文章编号： | 1000-0887（2006）03-0285-08 |
| 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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| SHEN Chun,WANG Yue-peng,SHI Wei-hui. Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids[J]. Applied Mathematics and Mechanics, 2006, 27(3): 285-292 |
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| Authors: | SHEN Chun WANG Yue-peng SHI Wei-hui |
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| Affiliation: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China; |
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| Abstract: | Applying the theory of stratification,it was proved that the system of the two-dimensional non-hydrostatic revolving fluids is trustable in the two-order continuous function class. The construction of solution space was given and the solution approach was offered. The suffident and necessary conditions of the existence of formal solutions were expressed for some typical initial and boundary value problems and the calculating formulae to formal solutions were presented in detail. |
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| Keywords: | Boussinesq equation stability initial or boundary value problem stratification |
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