Acta mathematica scientia, Series B >
THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM
Received date: 2011-10-05
Revised date: 2012-02-05
Online published: 2013-01-20
Supported by
Supported by the National Natural Science Foundation of China (11071100) and Natural Science Foundation of Guangxi (2011jjA10044). The first author is supported by National Natural Science Foundation of China and Natural Science Foundation of Guangxi.
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].
LING Zheng-Qiu , WANG Ze-Jia , ZHANG Guo-Qiang . THE SIMULTANEOUS AND NON-SIMULTANEOUS BLOW-UP CRITERIA FOR A DIFFUSION SYSTEM[J]. Acta mathematica scientia, Series B, 2013 , 33(1) : 139 -149 . DOI: 10.1016/S0252-9602(12)60200-8
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