Impact of singularity of Navier-Stokes equation upon atmospheric motion equations
Impact of singularity of Navier-Stokes equation upon atmospheric motion equations作者机构:Department of MathematicsShanghai University Department of MathematicsNanjing University of Information Science & Technology
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2007年第28卷第5期
页 面:689-693页
核心收录:
学科分类:07[理学] 070601[理学-气象学] 070104[理学-应用数学] 0706[理学-大气科学] 0701[理学-数学]
基 金:Project supported by the National Natural Science Foundation of China (Nos.40175014, 90411006) the Science Foundation of Shanghai Municipal Commission of Science and Technology(No.02DJ14032)
主 题:equations of atmospheric approximation stability singular equation motion Navier-Stokes equation Boussinesq
摘 要:Some conclusions about the smooth function classes stability for the basic system of equations of atmospheric motion and instability for Navier-Stokes equation are summarized. On the basis of this, by taking the basic system of equations of atmospheric motion via Boussinesq approximation as example to explain in detail that the instability about some simplified models of the basic system of equations for atmospheric motion is caused by the instability of Navier-Stokes equation, thereby, a principle to guarantee the stability of simplified equation is drawn in simplifying the basic system of equations.