Stability for the Basic System of Equations of Atmospheric Motion

SHI Wei-hui; XU Ming; WANG Yue-peng

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SHI Wei-hui, XU Ming, WANG Yue-peng. Stability for the Basic System of Equations of Atmospheric Motion[J]. Applied Mathematics and Mechanics, 2007, 28(2): 238-244.

Citation:

SHI Wei-hui, XU Ming, WANG Yue-peng. Stability for the Basic System of Equations of Atmospheric Motion[J]. Applied Mathematics and Mechanics, 2007, 28(2): 238-244.

Citation:

SHI Wei-hui, XU Ming, WANG Yue-peng. Stability for the Basic System of Equations of Atmospheric Motion[J]. Applied Mathematics and Mechanics, 2007, 28(2): 238-244.

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Stability for the Basic System of Equations of Atmospheric Motion

1.
Department of Mathematics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2005-11-01
Rev Recd Date: 2006-12-06
Publish Date: 2007-02-15

Abstract

Abstract

The topological characteristics for the basic system of equations of atmospheric motion were analyzed with the help of method provided by stratification theory;It was proved that in the local rectangular coordinate system the basic system of equations of atmospheric motion was stable equations in infinitely differentiable function class;In the sense of local solution,the necessary and sufficient conditions by which the typical problem for determining solution was well posed were also given.Such problems as something about/speculating future from past0 in atmospheric dynamics and how to amend the conditions for determining solution as well as the choice of underlying surface when involving the practical application were further discussed; It is also pointed out that under the usual conditions,three motion equations and continuity equation in the basic system of equations determine entirely the property of this system of equations.
- basic system of equations of atmospheric motion,
- stability,
- stratification theory,
- transversal stratum

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References(13)

References

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