Title of article
Blow-up time for a semilinear parabolic equation with variable reaction
Author/Authors
Boni, Theodore Kouassi Institut National Polytechnique Houphou¨et-Boigny de Yamoussoukro, Cote d’Ivoire , Kouakou, Remi Kouadio Universite d’Abobo-Adjame - Departement de Mathematiques et Informatique, Cote d’Ivoire
From page
87
To page
100
Abstract
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.
Keywords
Semilinear parabolic equation , blow , up , numerical blow , up time
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2530921
Link To Document