The profile near quenching time for the solution of a singular semilinear heat equation

Author:

Guo Jong-Shenq,Hu Bei

Abstract

We study the profile near quenching time for the solutions of the first and second initial boundary value problems (IBVP) for a semilinear heat equation. Under certain conditions, one-point quenching occurs for both first and second IBVPs. Furthermore, we derive the asymptotic self-similar quenching rate for both problems.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

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2. On the quenching behavior of the solution of a semilinear parabolic equation

3. Quenching profiles for one-dimensional semilinear heat equations;Filippas;Quart. J. Mech. Appl. Math.,1993

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