一类非线性扩散方程解的blow up速率估计  

Blow-up rate estimates of the solution for a nonlinear diffusion equation

作　　者：容跃堂[1] 马福敏[2] 

机构地区：[1]西安工程科技学院理学院,陕西西安710048 [2]西安工程科技学院计算机科学学院,陕西西安710048

出　　处：《纯粹数学与应用数学》2006年第2期284-288,共5页Pure and Applied Mathematics

摘　　要：利用F riedm an-M cleod方法和变动尺度方法研究了一类具有非线性边界条件的非线性扩散方程解的b low up问题,证明了解在有限时间b low up,并且得到了b low up速率估计.Blow-up problem for a nonlinear diffusion equation with nonlinear boundary condi tion has been studied with Friedman-McLeod method and scaling method. It is proved that the solution of the equation blow up in finite time. Blow-up rate estimates of the solution has been established.

关 键 词：非线性扩散 BLOW up BLOW up速率 变动尺度方法 

分 类 号：O175.29[理学—数学]