| 带有非线性局部化反应源项的抛物方程组的爆破估计 |
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| 引用本文： | 李玲,胡学刚.带有非线性局部化反应源项的抛物方程组的爆破估计[J].重庆邮电学院学报(自然科学版),2006,18(1):134-137. |
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| 作者姓名： | 李玲 胡学刚 |
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| 作者单位： | [1]重庆邮电学院应用数学研究所,重庆400065 [2]西南大学数学与财经学院,重庆400715 |
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| 基金项目： | 重庆市高校优秀中青年骨干教师资助基金（D2005-37）和重庆邮电学院青年教师基金项目（A2005-24） |
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| 摘 要： | 讨论了一类带局部化非线性反应项的扩散方程组的爆破估计问题。在一些合理的假设条件下，对于初值问题，得到了解的爆破条件和爆破速率；对于相应的第一初边值问题，不仅建立了解的爆破估计，而且还获得了边界层估计。
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| 关 键 词： | 抛物方程组 爆破 局部化源 边界层 |
| 文章编号： | 1004-5694（2006）01-0134-04 |
| 收稿时间： | 2005-07-20 |
| 修稿时间： | 2005-12-21 |
Blow-up estimates of nonnegative solutions to a parabolic system with localized nonlinear reactions |
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| LI Ling, HU Xue-gang.Blow-up estimates of nonnegative solutions to a parabolic system with localized nonlinear reactions[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),2006,18(1):134-137. |
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| Authors: | LI Ling HU Xue-gang |
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| Institution: | 1. Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China;2. College of Mathematics-Finance of SouthWest China Normal University, Chongqing 400715, P. R. China |
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| Abstract: | This paper deals with blow-up estimates of the nonnegative solutions to a parabolic system with localized nonlinear reactions. Under some reasonable conditions, for the Cauchy problem, we give the blow-up condition and blow-up rate; for the first initial-boundary problem, besides establishing the blow-up rates, we obtain the size of the boundary layer. |
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| Keywords: | Diffusion system blow--up localized source boundary layer |
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