BLOW-UP PHENOMENA IN SOME POROUS MEDIUM PROBLEMS

被引：0
|
作者：
Schaefer, Philip W. [1 ]
机构：
[1] Univ Tennessee, Dept Math, Knoxville, TN 37916 USA
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2009年 / 18卷 / 01期
关键词：
PARABOLIC EQUATIONS; NONEXISTENCE; THEOREMS; BOUNDS; TIME;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a Dirichlet type initial-boundary value problem for the porous medium equation with a power function reaction term. We determine a condition on the initial data which ensures blow-up of the solution in finite time and an upper bound for the blow-up time. We also discuss when blow-up does not occur and a more general initial-boundary value problem where blow-up does occur.
引用
收藏
页码：103 / 109
页数：7
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