Quenching profiles for one-dimensional semilinear heat equations

Author:

Filippas Stathis,Guo Jong-Shenq

Abstract

We are interested in the local behavior, near a quenching point, of a solution of a semilinear heat equation with singular powerlike absorption. Using the method of Herrero and Velazquez, we obtain a precise description of the spatial profile of the solution in a neighborhood of a quenching point at the quenching time, under certain assumptions on the initial data.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

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