The “Rebel Travelling” of General Nonlinear Evolutional Equation and Discussion on Related Problems

Ouyang Shoucheng; Wang Yongzong; Wu Yong; Li Chao

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(2): 165-173

Ouyang Shoucheng, Wang Yongzong, Wu Yong, Li Chao. The “Rebel Travelling” of General Nonlinear Evolutional Equation and Discussion on Related Problems[J]. Applied Mathematics and Mechanics, 1998, 19(2): 165-173.

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The “Rebel Travelling” of General Nonlinear Evolutional Equation and Discussion on Related Problems

Chengdu Institute of Meteorologe, Chengdu 610041, P. R. China;

Received Date: 1995-06-20
Rev Recd Date: 1995-06-20
Publish Date: 1998-02-15

Abstract

Abstract

This paper is a part of series works for diseussing the "auto-destruction effects" of general nonlinear evolutional equations.The blown-up of Navier-Stockes equation isdiscussed in references [1,2].Some expansion is made in this paper,and the blown-upof ordere-1 or 2 models and the "rebel travelling" of complex model of poly-order arediscussed.The results indicate that "semi-rupture" applears for some models on specific condition the blown-up appears during the whole evolution.For fluid however,the weadly-nonlinear model is of more artificiality and there is much room for arguing about the smoothing scheme of the numerical integral on the basis of continuous thinking and so on.
- “rebel travelling”,blown-up“semi-rupture”,
- whole evolution,

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References(9)

References

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