Blow-up rate for a semilinear reaction diffusion system☆

Blow-up rate for a semilinear reaction diffusion system☆
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DOI:
10.1016/s0898-1221(02)00172-4
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发表时间:
2002-09
影响因子:
2.9
通讯作者:
Mingxin Wang
Mingxin Wang
中科院分区:
数学2区
文献类型:
--
作者:
Mingxin Wang

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本文讨论半线性反应扩散系统正解的爆炸率:(u1)t= Δu1+ u2p1,…, (un−1)t= Δun−1 + unpn−1, (un)= Δu1+ u1pn,狄利克雷边界条件为零。获得了吹胀率的上限和下限。
This paper deals with the blow-up rate of positive solution to semilinear reaction diffusion system: (u1)t= Δu1+ u2p1,…, (un−1)t= Δun−1 + unpn−1, (un)= Δu1+ u1pn, with null Dirichlet boundary conditions. The upper and lower bounds of blow-up rate were obtained.