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

页码：103 / 109

页数：7

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