Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space
Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space
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DOI：
10.1360/03ys0068
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发表时间：
2004-01
期刊：
影响因子：
--
通讯作者：
Zhigui Lin
中科院分区：
文献类型：
--
作者：
Zhigui Lin
本文讨论了半空间中通过非线性边界条件耦合的热方程组在爆破时刻附近的爆破估计。建立了爆破率的上下界。给出了初值为零时系统的唯一性和非唯一性结果。
This paper deals with the blowup estimates near the blowup time for the system of heat equations in a half space coupled through nonlinear boundary conditions. The upper and lower bounds of blowup rate are established. The uniqueness and nonuniqueness results for the system with vanishing initial value are given.