Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids

SHEN Chun; WANG Yue-peng; SHI Wei

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SHEN Chun, WANG Yue-peng, SHI Wei. Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids[J]. Applied Mathematics and Mechanics, 2006, 27(3): 285-292.

Citation:

SHEN Chun, WANG Yue-peng, SHI Wei. Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids[J]. Applied Mathematics and Mechanics, 2006, 27(3): 285-292.

Citation:

SHEN Chun, WANG Yue-peng, SHI Wei. Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids[J]. Applied Mathematics and Mechanics, 2006, 27(3): 285-292.

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Stability of System of Two-Dimensional Non-Hydrostatic Revolving Fluids

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2004-06-30
Rev Recd Date: 2005-12-01
Publish Date: 2006-03-15

Abstract

Abstract

Applying the theory of stratification,it was proved that the system of the two-dimensional non-hydrostatic revolving fluids is unstable in the two-order continuous function class.The construction of solution space was given and the solution approach was offered.The sufficient and necessary conditions of the existence of formal solutions were expressed for some typical initial and boundary value problems and the calculating formulae to formal solutions were presented in detail.
- Boussinesq equation,
- stability,
- initial or boundary value problem,
- stratification

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References(9)

References

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