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

Authors

THEODORE KOUASSI BONI
REMI KOUADIO KOUAKOU

DOI

10.3906/mat-0903-47

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

First Page

87

Last Page

100

Recommended Citation

BONI, THEODORE KOUASSI and KOUAKOU, REMI KOUADIO (2011) "Blow-up time for a semilinear parabolic equation with variable reaction," Turkish Journal of Mathematics: Vol. 35: No. 1, Article 7. https://doi.org/10.3906/mat-0903-47
Available at: https://journals.tubitak.gov.tr/math/vol35/iss1/7