Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions

摘要

In this paper we consider blow-up solutions for a parabolic model with inner absorptions and coupled nonlinear weighted and localized sources. Three simultaneous blow-up rates are established under different dominations of nonlinearities and simply represented via a characteristic algebraic system. In particular, for the case of weak absorptions, a uniform blow-up profile is established, while for the case of unbalanced absorptions, unlike the existing results in literature, the multiple blow-up rates are shown to be related to the absorptions.