| 一类半线性抛物型方程组解的爆破速率估计 |
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| 引用本文： | 刘艳霞,张欣,杨云飞,谢瑞军,吕晓娜,吴文英.一类半线性抛物型方程组解的爆破速率估计[J].数学的实践与认识,2013,43(4):221-224. |
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| 作者姓名： | 刘艳霞 张欣 杨云飞 谢瑞军 吕晓娜 吴文英 |
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| 作者单位： | 1. 北京化工大学北方学院,河北三河,065210
2. 内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022 |
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| 摘 要： | 考虑一类带有齐次Dirichlet边界条件且反应项分别为指数形式和幂函数形式的半线性抛物型方程组,利用比较原理得到了方程解爆破的充分条件,由数学分析原理和最大值原理得到了爆破解的爆破速率估计.
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| 关 键 词： | 半线性抛物型方程组 有限时刻爆破 爆破速率估计 |
Blow-up Rate Estimates for the Solution of a Semilinear Parabolic System |
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| LIU Yan-xia
,
ZHANG Xin
,
YANG Yun-fei
,
XIE Rui-jun
,
LV Xiao-na
,
WU Wen-ying.Blow-up Rate Estimates for the Solution of a Semilinear Parabolic System[J].Mathematics in Practice and Theory,2013,43(4):221-224. |
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| Authors: | LIU Yan-xia ZHANG Xin YANG Yun-fei XIE Rui-jun LV Xiao-na WU Wen-ying |
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| Institution: | 1 (1.North College of Beijing University of Chemical Technology,Sanhe 065210,China) (2.Inner Mongolia Nomal University,Hohhot 010022,China) |
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| Abstract: | A semi-linear parabolic equation with null Dirichlet boundary condition is studied. The response items of system are exponential and power functions.By using comparison principle,the sufficient condition for blow-up of solution is established.The blow-up rates of the solution to parabolic systems have been discussed by using the mathematical analysis principle and maximum principle. |
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| Keywords: | semi-linear parabolic systems finite time blow-up blow-up rate estimate |
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