- Turkish Journal of Mathematics
- Vol: 35 Issue: 1
- Blow-up time for a semilinear parabolic equation with variable reaction
Blow-up time for a semilinear parabolic equation with variable reaction
Authors : Théodore Kouassi Boni
Pages : 87-100
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Publication Date : 9999-12-31
Article Type : Makaleler
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