Abstract

BONI, THÉODORE K.  and  KOUAKOU, THIBAUT K.. Continuity of the quenching time in a semilinear heat equation with a potential. Rev.colomb.mat. [online]. 2009, vol.43, n.1, pp.55-70. ISSN 0034-7426.

In this paper, we consider a semilinear heat equation with a potential subject to Neumann boundary conditions and positive initial data. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. We also prove the continuity of the quenching time as a function of the potential and the initial data. Finally, we give some numerical results to illustrate our analysis.

Keywords : Quenching; semilinear heat equation; numerical quenching time.

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