Non-simultaneous blow up for coupled nonlinear diffusion equations with absorptions |
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| Authors: | Zhongping Li Chunlai Mu Wanjuan Du |
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| Institution: | 1. College of mathematic and information, China West Normal University, Nanchong, 637009, People’s Republic of China
2. College of mathematics and Statistics, Chongqing University, Chongqing, 400044, People’s Republic of China
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| Abstract: | This paper deals with coupled nonlinear diffusion equations with absorptions. We characterize the range of parameters for which non-simultaneous blow up occurs. We establish the necessary and sufficient conditions for the occurrence of non-simultaneous blow up with proper initial data. Moreover, we obtain the optimal condition under which any blow up is non-simultaneous. |
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