Quenching profiles for one-dimensional semilinear heat equations
Stathis Filippas, Jong‐Shenq Guo · Quarterly of Applied Mathematics · 1993
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.