Impact of Singularity of Navier-Sokes Equation Upon the Atmospheric Motion Equations

SHI Wei-hui; WANG Yue-peng

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SHI Wei-hui, WANG Yue-peng. Impact of Singularity of Navier-Sokes Equation Upon the Atmospheric Motion Equations[J]. Applied Mathematics and Mechanics, 2007, 28(5): 614-618.

Citation:

SHI Wei-hui, WANG Yue-peng. Impact of Singularity of Navier-Sokes Equation Upon the Atmospheric Motion Equations[J]. Applied Mathematics and Mechanics, 2007, 28(5): 614-618.

Citation:

SHI Wei-hui, WANG Yue-peng. Impact of Singularity of Navier-Sokes Equation Upon the Atmospheric Motion Equations[J]. Applied Mathematics and Mechanics, 2007, 28(5): 614-618.

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Impact of Singularity of Navier-Sokes Equation Upon the Atmospheric Motion Equations

SHI Wei-hui¹,
WANG Yue-peng²

1.
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;

Received Date: 2005-01-20
Rev Recd Date: 2006-12-12
Publish Date: 2007-05-15

Abstract

Abstract

Some conclusions about the smooth function classes stability for the basic system of equations of atmospheric motion and instability for Navier-Stokes equation are summarized.On the basis of this,by taking the basic system of equations of atmospheric motion via Boussinesq approximation as an example to explain in detail that the instability about some simplified models of the basic system of equations for atmospheric motion is caused by the instability of Navie-rStokes equation,thereby,a principle to guarantee the stability of simplified equation is drawn in simplifying the basic system of equations.
- the basic system of equations of atmospheric motion,
- Navier-Stokes equation,
- Boussinesq approximation,
- stability,
- singular equation

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References(9)

References

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