| 同心球间旋转流动类Lorenz方程组的分歧问题 |
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| 引用本文： | 徐美进,王贺元.同心球间旋转流动类Lorenz方程组的分歧问题[J].数学杂志,2007,27(1):111-118. |
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| 作者姓名： | 徐美进 王贺元 |
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| 作者单位： | 辽宁工学院数理科学系,辽宁锦州,121001 |
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| 基金项目： | 辽宁省教育厅资助项目;辽宁工业大学校科研和教改项目 |
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| 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.
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| 关 键 词： | Navier-Stokes方程 球Couette流 Lorenz方程 |
| 文章编号： | 0255-7797（2007）01-0111-08 |
| 修稿时间： | 2004-09-232005-04-08 |
BIFURCATION PROBLEMS OF THE MODEL SYSTEM SIMILAR TO THE LORENZ EQUATIONS OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES |
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| XU Mei-jin,WANG He-yuan.BIFURCATION PROBLEMS OF THE MODEL SYSTEM SIMILAR TO THE LORENZ EQUATIONS OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES[J].Journal of Mathematics,2007,27(1):111-118. |
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| Authors: | XU Mei-jin WANG He-yuan |
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| Institution: | Dept. of Math. and Physics, Liaoning Institute of Technology ,Jinzhou 121001.China |
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| Abstract: | 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. |
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| Keywords: | Navier-Stokes equations spherical Couette flow the Lorenz equations |
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