一类退化抛物型方程组解的爆破性质  

Blow-up for a Degenerate Parabolic System with Nonlocal Sources

作　　者：崔美英[1] 容跃堂[1] 

机构地区：[1]榆林学院能源工程学院,陕西榆林719000

出　　处：《河南科学》2013年第8期1117-1121,共5页Henan Science

基　　金：榆林学院高层次人才科研启动基金项目(12GK38)

摘　　要：研究了一类带有非局部源的退化抛物型方程组解的爆破性质,运用构造上下解的方法得出解在有限时间内爆破的充分条件,并且得出解同时爆破的充分条件.The blow-up properties of solutions for a degenerate parabolic system with nonlocal sources are investigated in this paper. The sufficient conditions for blow-up of global solution in finite time are proved by the sub and super solution method, and the sufficient condition for blow-up of global solution at the same time is obtained.

关 键 词：非局部源 退化抛物型方程组 爆破 

分 类 号：O175.29[理学—数学]