一类半线性抛物型方程组解的爆破速率估计  

Blow-up Rate Estimates for the Solution of a Semilinear Parabolic System

作　　者：刘艳霞[1] 张欣[1] 杨云飞[2] 谢瑞军[1] 吕晓娜[1] 吴文英[1] 

机构地区：[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

出　　处：《数学的实践与认识》2013年第4期221-224,共4页Mathematics in Practice and Theory

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.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.

关 键 词：半线性抛物型方程组 有限时刻爆破 爆破速率估计 

分 类 号：O175.26[理学—数学]