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.
出处
《数学杂志》
CSCD
北大核心
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.
