THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (1): 67-72.

THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

封卫兵¹, 李开泰²

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P R China;
2. Science School of Xi’an Jiaotong University, Xi’an 710049, P R China

收稿日期:1997-08-11 修回日期:1999-07-13 出版日期:2000-01-18 发布日期:2000-01-18
基金资助:
the National Natural Science Foundation of China(19671067);State Key Basic Research Project

THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

Feng Weibing¹, Li Kaitai²

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P R China;
2. Science School of Xi’an Jiaotong University, Xi’an 710049, P R China

Received:1997-08-11 Revised:1999-07-13 Online:2000-01-18 Published:2000-01-18
Supported by:
the National Natural Science Foundation of China(19671067);State Key Basic Research Project

摘要/Abstract

摘要： The unsteady axisymmetric incompressible flow between two concentric spheres was discussed in this paper. It is useful to most astrophysical, geophysical and engineering applications. In order to get the existence and uniqueness of weak solution of this flow with the stream_velocity form, firstly, the relations among the nonlinear terms in this equation is found; then, the existence is proved by an auxiliary semi_discrete scheme and a compactness argument.

关键词: Navier_Stokes equations, stream function, Galerkin method

Abstract: The unsteady axisymmetric incompressible flow between two concentric spheres was discussed in this paper. It is useful to most astrophysical, geophysical and engineering applications. In order to get the existence and uniqueness of weak solution of this flow with the stream_velocity form, firstly, the relations among the nonlinear terms in this equation is found; then, the existence is proved by an auxiliary semi_discrete scheme and a compactness argument.

Key words: Navier_Stokes equations, stream function, Galerkin method

中图分类号:

O241.82

封卫兵;李开泰. THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 67-72.

Feng Weibing;Li Kaitai. THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 67-72.

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THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

THE EXISTENCE AND UNIQUENESS OF WEAK SOLUTION OF THE FLOW BETWEEN TWO CONCENTRIC ROTATING SPHERES

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