This paper is a part of series works for discussing the 'auto-destruction effects' of general nonlinear evolutional equations. The blown-up of Navier-Stokes equation is discussed in references [1, 2]. Some exp...This paper is a part of series works for discussing the 'auto-destruction effects' of general nonlinear evolutional equations. The blown-up of Navier-Stokes 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.展开更多
文摘This paper is a part of series works for discussing the 'auto-destruction effects' of general nonlinear evolutional equations. The blown-up of Navier-Stokes 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.
