带有非局部性的非线性热方程解的爆破性质  

On Blow-up Properties of Solution for Nonlinear Heat Equation with Nonlocal Term

作　　者：亓正申[1] 王鸿燕[1] 

机构地区：[1]许昌职业技术学院,河南许昌461000

出　　处：《平顶山学院学报》2008年第2期67-69,共3页Journal of Pingdingshan University

基　　金：河南省青年骨干教师基金(20050181);河南省自然科学基金(0611055100)

摘　　要：应用非线性变换以及热方程的性质,证明了带有非局部性项和梯度项的热方程初边值问题存在常数δ*∈(0,∞),使当δ>δ*时问题的解在有限时间内产生爆破.Using a nonlinear transform and the properties of solutions to the linear heat equation, we testify a nonlinear heat equation with a nonlocal term and a convection term. It shows that there exists a solution to the equation blowing up in definite time.

关 键 词：非局部性项 梯度项 非线性热方程 爆破 

分 类 号：O175[理学—数学]