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)
Reference19 articles.
1. A new class of probability limit theorems;Lamperti;J. Math. Mech.,1962
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
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献