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

Authors : Théodore Kouassi BONI

Pages : 87-100

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Publication Date : 0000-00-00

Article Type : Research Paper

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