The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres

Feng Weibing; Li Kaitai

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Feng Weibing, Li Kaitai. The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres[J]. Applied Mathematics and Mechanics, 2000, (1): 61-66.

Citation:

Feng Weibing, Li Kaitai. The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres[J]. Applied Mathematics and Mechanics, 2000, (1): 61-66.

Citation:

Feng Weibing, Li Kaitai. The Existence and Uniqueness of Weak Solution of the Flow Between Two Concentric Rotating Spheres[J]. Applied Mathematics and Mechanics, 2000, (1): 61-66.

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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 Date: 1997-08-11
Rev Recd Date: 1999-07-13
Publish Date: 2000-01-15

Abstract

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.
- Navier-Stokes equations,
- stream function,
- Galerkin method

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References(7)

References

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