二维非静力旋转流体方程组的稳定性

基金项目: 国家自然科学基金资助项目(4017501490411006)

Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

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．
- Boussinesq方程组 /
- 稳定性 /
- 初边值问题 /
- 分层
Abstract: Applying the theory of stratification,it was 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 was given and the solution approach was offered.The sufficient 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.
- Boussinesq equation /
- stability /
- initial or boundary value problem /
- stratification

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