Quenching Time for Some Semilinear Equations with A Potential
Abstract
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
Abstract
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
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