The “rebel travelling” of general nonlinear evolutional equation and discussion on related problems |
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Authors: | Ouyang Shoucheng Wang Yongzong Wu Yong Li Chao |
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Institution: | (1) Chengdu Institute of Meteorologue, 610041 Chengdu, P.R. China;(2) Peking Institute of Meteorologe, 100081 Beijing, P.R.China;(3) Fuling Soil Bureau, 408000 Fuling, P.R. China |
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Abstract: | This paper is a part of series works for discussing the “auto-destruction effects” of general nonlinear evolutional equations.
The blown-up of Navier-Stockes equation is discussed in references 1,2]. Some expansion is made in this paper, and the blown-up
of order-1 or 2 models and the “rebel travelling” of complex model of poly-order are discussed. The results indicate that
“semi-rupture” appears for some models on specific condition: the blown-up appears during the whole evolution. For fluid,
however, the weakly-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. |
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Keywords: | “ rebel travelling” blown-up “ semi-rupture” whole evolution |
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