Blow-up time for a semilinear parabolic equation with variable reaction

被引：0

作者：

Boni, Theodore Kouassi ^{[1
]}

Kouakou, Remi Kouadio ^{[2
]}

机构：

[1] Inst Natl Polytech, Yamoussoukro, Cote Ivoire

[2] Univ Abobo Adjame, Dept Math & Informat, UFR SFA, Abidjan 01, Cote Ivoire

来源：

TURKISH JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 01期

关键词：

Semi linear parabolic equation; blow-up; numerical blow-up time; REACTION-DIFFUSION EQUATIONS; HEAT-EQUATIONS; DISCRETIZATIONS;

D O I：

10.3906/mat-0903-47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that the solution of the above problem blows up in a finite time, and its blow-up time goes to that of the solution of a certain differential equation. Finally, we give some numerical results to illustrate our analysis.

引用

页码：87 / 100

页数：14

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