The “rebel travelling” of general nonlinear evolutional equation and discussion on related problems

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.