A Reaction-diffusion system with nonlinear absorption terms and boundary flux

被引：0
作者：
Ming-xin Wang
Xiao-liu Wang
机构：
[1] Southeast University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2008年 / 24卷
关键词：
Reaction-diffusion system; global existence; blow-up; nonlinear absorption; nonlinear boundary flux; 35K60; 35B40; 35K65;
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学科分类号：
摘要：
This paper deals with a reaction-diffusion system with nonlinear absorption terms and boundary flux. As results of interactions among the six nonlinear terms in the system, some sufficient conditions on global existence and finite time blow-up of the solutions are described via all the six nonlinear exponents appearing in the six nonlinear terms. In addition, we also show the influence of the coefficients of the absorption terms as well as the geometry of the domain to the global existence and finite time blow-up of the solutions for some cases. At last, some numerical results are given.
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页码：409 / 422
页数：13
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