Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 179-189.

• Articles • Previous Articles     Next Articles

THE “REBEL TRAVELLING” OF GENERAL NONLINEAR EVOLUTIONAL EQUATION AND DISCUSSION ON RELATED PROBLEMS

Ouyang Shoucheng1, Wang Yongzong2, Wu Yong3, Li Chao1   

  1. 1. Chengdu Institute of Meteorologe, Chengdu 610041, P.R.China;
    2. Peking Institute of Meteorologe, Beijing 100081. P.R.China;
    3. Fuling Soil Bureau, Fuling 408000, P.R.China
  • Received:1995-06-20 Revised:1995-06-20 Online:1998-02-18 Published:1998-02-18

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.

Key words: rebel travelling "blown-up, "semi-rupture", whole evolution

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