摘要
利用能量估计方法与微分不等式技术,该文研究了一类具有可变非局部源项的牛顿渗流方程的Neumann边界值问题解的爆破现象,给出了解发生爆破时两个估计爆破时间下界的方法以及它们的有效性分析.
In this paper,we consider the blow-up phenomenon to a type of Newtonian filtration equation with variable source subject to homogeneous Neumann boundary condition.We give two methods to determine the lower bound for blow-up time of solution in Ω■R^3 if the solutions blow up by energy estimation method and diferential inequality technique.Moreover,the effectiveness of these methods are also discussed.
作者
覃思乾
凌征球
周泽文
Qin Siqian;Ling Zhengqiu;Zhou Zewen(School of Mathematics and Statistics,Yulin Normal University,Guangxi Yulin 537000)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2019年第5期1033-1040,共8页
Acta Mathematica Scientia
基金
国家自然科学基金(11461076)~~
关键词
牛顿渗流方程
可变源
爆破
下界
有效性
Newtonian filtration equation
Variable source
Blow-up
Lower bound
Effectiveness
