同心球间旋转流动类Lorenz方程组的分歧问题  

BIFURCATION PROBLEMS OF THE MODEL SYSTEM SIMILAR TO THE LORENZ EQUATIONS OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

作　　者：徐美进[1] 王贺元[1] 

机构地区：[1]辽宁工学院数理科学系,辽宁锦州121001

出　　处：《数学杂志》2007年第1期111-118,共8页Journal of Mathematics

基　　金：辽宁省教委科研基金资助项目(200401081);辽宁工学院教师基金资助项目.

摘　　要：本文对同心球间旋转流动的Navier-Stokes方程谱展开后进行三模态截断,研究了所得到的类Lorenz型方程组的分歧问题.推导了同心球间旋转流动的Navier-Stokes方程的流函数-涡度形式,给出了静态奇异点的条件,并计算出解分支.Bifurcation problems of the model system similar to the Lorenz equations of the Navier-Stokes equations for the flow between two concentric rotating spheres are discussed. Velocity-stream function form of the Navier-stokes equations for the flow between two concentric rotating spheres is deduced,and detection conditions of singular point and solution branches are given.

关 键 词：NAVIER-STOKES方程 球Couette流 LORENZ方程 

分 类 号：O357.1[理学—流体力学] O241.82[理学—力学]