On the Stability of Forced Dissipative Nonlinear System

Chen Daduan; Liu Xiaoming; Shi Weihui

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Chen Daduan, Liu Xiaoming, Shi Weihui. On the Stability of Forced Dissipative Nonlinear System[J]. Applied Mathematics and Mechanics, 1996, 17(6): 515-522.

Citation:

Chen Daduan, Liu Xiaoming, Shi Weihui. On the Stability of Forced Dissipative Nonlinear System[J]. Applied Mathematics and Mechanics, 1996, 17(6): 515-522.

Citation:

Chen Daduan, Liu Xiaoming, Shi Weihui. On the Stability of Forced Dissipative Nonlinear System[J]. Applied Mathematics and Mechanics, 1996, 17(6): 515-522.

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On the Stability of Forced Dissipative Nonlinear System

Shanghai University, Shanghai 200072, P. R. China

Received Date: 1995-10-25
Publish Date: 1996-06-15

Abstract

Abstract

This paper, applying the stratification theory, proves the instability of certain initial (boundary) Value problem of forced dissipative nonlinear system in atmospheric dynamies. An example in given.
- construction of solution space,
- stralificalion,
- trivial layer

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References(3)

References

[1]	丑纪范,《大气动力学的新进展》,兰州大学出版社(1990),
[2]	Shie Weihui, Solution analytiques de quelques equations aux derivees partielles en mecanique des fluid,Travaux en Coors, 42, Hermann, Paris (1992).
[3]	施惟慧,Navier-Stokes方程稳定性研究,(I)、(Ⅱ)、(Ⅲ),应用数学和力学,15(9,10,12)(1994), 821-822, 879-883, 1067-1073.