Asymptotic analysis to a parabolic system with weighted localized sources and inner absorptions |
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Authors: | Linghua Kong Xiaoliu Wang Xueda Zhao |
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Affiliation: | 1. School of Science, Dalian Ocean University, No. 52 Heishijiao Street, Dalian, 116023, People’s Republic of China 2. Department of Mathematics, Southeast University, No. 2 Sipailou, Nanjing, 210096, People’s Republic of China
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Abstract: | 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. |
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