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

• 论文 • 上一篇    下一篇

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

欧阳首承1, 王永中2, 吴勇3, 李超1   

  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
  • 收稿日期:1995-06-20 修回日期:1995-06-20 出版日期:1998-02-18 发布日期:1998-02-18
  • 通讯作者: Wu Xuemou

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

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摘要： 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.

关键词: rebel travelling "blown-up, "semi-rupture", whole evolution

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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