Quenching Time for Some Semilinear Equations with A Potential
Rémi K. Kouakou, Firmin K. N’gohissé

This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions, with a potential and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. Finally, we give some numerical results to illustrate our analysis.

Full Text: PDF     DOI: 10.15640/arms.v7n2a2