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THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM |
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| Authors: | Zhengqiu LING Zejia WANG Guoqiang ZHANG |
| Institution: | 1. Institute of Mathematics and Information Science, Yulin Normal University, Yulin 537000, China 2. College of Mathematics and Informational Science, Jiangxi Normal University, Nanchang 330022, China 3. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China |
| Abstract: | This paper investigates the finite time blow-up of nonnegative solutions for a nonlinear diffusion system with a more complicated source term, which is a product of localized source, local source, and weight function, and complemented by homogeneous Dirichlet boundary conditions. The criteria are proposed to identify simultaneous and non-simultaneous blow-up solutions. Moreover, the related classification for the four parameters in the model is optimal and complete. The results extend those in Zhang and Yang 12]. |
| Keywords: | blow-up simultaneous and non-simultaneous blow-up critical exponent dif-fusion system |
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