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 Solutions of a Semilinear Parabolic System

作　　者：安晓伟[1] 

机构地区：[1]武警学院基础部,河北廊坊065000

出　　处：《武警学院学报》2009年第12期88-89,共2页Journal of the Armed Police Academy

摘　　要：研究了一类具有不同类型反应项的半非线性抛物型方程组初边值问题,这类模型主要描述两种物质燃烧过程中的热传递规律。通过运用古典计算技巧和偏微分方程的定性分析手法,得到了这类半非线性抛物型方程组初边值问题解的爆破速率估计。This paper deals with an initial-boundary value problem of a semilinear parabolic system of two equations with different type of reactions,which models the rules on thermal transmission in the course of combustion of two materials.Using the technique of classical computations and the method of quality analysis on partial differential equations,we obtain the estimates for blowup rate of the solution to the initial-boundary value problem.

关 键 词：半线性抛物型方程组 非线性反应 有限时刻爆破 爆破速率. 

分 类 号：O175.26[理学—数学]