摘要
本文讨论描述流体在稀疏介质中流动规律的一类拟线性抛物型方程具有第三类非线性边界条件的初边值问题.利用抛物型方程的最大值原理和凸性方法,得到了该问题的解在有限时间内发生爆破现象的充分条件。
This dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition. To apply the maximum value theory and convex method, get the full condition for solution of the problem occurs blowing up behavior in the definite time.
出处
《重庆三峡学院学报》
2006年第3期42-47,共6页
Journal of Chongqing Three Gorges University
基金
重庆市教委科学技术研究项目基金(041101)
关键词
拟线性抛物型方程
初边值问题
解的爆破
Quasi Linear Parabolic Equation
Initialwboundary Value Problem
Blowing up of Solution.