学术
二维非静力旋转流体方程组的稳定性
沈春[1] 王曰朋[1] 施惟慧[2] 戴世强（推荐）[3]
[1]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 [3]不详,上海200444
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。[著者文摘]
关 键 词:
文章出处:
《应用数学和力学》-2006年27卷3期 -285-292页
分 类 号:
文献标识码:
A
文章编号:
1000-0887（2006）03-0285-08
Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids
SHEN Chun, WANG Yue-peng, SHI Wei-hui （ 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）
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.[著者文摘]
Key words:
Boussinesq equation; stability; initial or boundary value problem; stratification
基金资助:
国家自然科学基金资助项目（40175014;90411006）
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