非线性反应扩散方程解的爆破  

Blow-up of solution to nonlinear reaction diffusion equation

作　　者：李永军[1] 臧子龙[1] 徐刚[2] 

机构地区：[1]兰州城市学院数学系,甘肃兰州730070 [2]兰州城市学院计算机系,甘肃兰州730070

出　　处：《兰州理工大学学报》2009年第2期171-172,共2页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10771159);甘肃省高校研究生导师基金(0711B-05)

摘　　要：讨论初始能量消失的非线性反应扩散方程ut-Δu+|u|m-1ut=|u|p-1u的爆破解.当m、p满足一定条件时,得到其解在有限时间内爆破.The problem of blow-up of solution to nonlinear reaction diffusion equation ut-△u＋｜u｜^m-1u1=｜u｜^p-su with vanishing initial energy was discussed. It was found that, when m and p were satisfied with definite conditions, the solution would blow up in finite time.

关 键 词：反应扩散方程 爆破 全局解 

分 类 号：O175.26[理学—数学]