SHI Wei-hui, SHEN Chun, WANG Yue-peng. Analytical Solution of the Basic Equations Set of Atmospheric Motion[J]. Applied Mathematics and Mechanics, 2007, 28(3): 349-358.
 Citation: SHI Wei-hui, SHEN Chun, WANG Yue-peng. Analytical Solution of the Basic Equations Set of Atmospheric Motion[J]. Applied Mathematics and Mechanics, 2007, 28(3): 349-358.

# Analytical Solution of the Basic Equations Set of Atmospheric Motion

• Rev Recd Date: 2006-12-12
• Publish Date: 2007-03-15
• In the smooth function classes,the basic equations set of atmospheric motion possesses the best stability,under this condition,its structure of solution space for local analytical solution was discussed,by which the third-class initial value problem with typicality and application was also analyzed.And in the analytic function classes,the calculational method and concrete expressions of analytical solution about the well-posed initial value problem of the third kind were given.In the meaning of local solution,near a appointed point,the relevant theoretical and computational problems about analytical solution of initial value problem were solved completely.Meanwhile,it is pointed out here that,with other types of problems for determining solution,the computational method and process of their stable analytical solution can be obtained in a similar way if needed.
•  [1] 曾庆存.数值天气预报的数学物理基础（第一卷）[M].北京:科学出版社,1979，1-44. [2] 吕美仲，侯志明，周 毅.动力气象学[M].北京:气象出版社，2004，1-33. [3] 刘式适，刘式达.大气动力学[M].北京: 北京大学出版社，1999，1-33. [4] 施惟慧,徐明,王曰朋.大气运动基本方程组的稳定性分析[J].应用数学和力学，2007，28(2)：238—244. [5] SHIH Wei-shu.Stratifications et Equations aux Derivees Partie-lles, Singularities of Maps,and Applications to Differential Equations[M].Collections Travaux en Cours 54,Paris, France:Hermann,1997,95-124. [6] 施惟慧,陈达段,何幼桦.分层理论与非线性偏微分方程基础[M].上海:上海大学出版社，2001, 63-133. [7] Dieudonne J.Elements D'analyse 3[M].Paris:Gauthier-Villars, 1974,177-186.

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