Quenching behavior of a semilinear reaction-diffusion system with singular boundary condition
Turkish Journal of Mathematics, vol.40, no.1, pp.166-180, 2016 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 40 Issue: 1
- Publication Date: 2016
- Doi Number: 10.3906/mat-1502-20
- Journal Name: Turkish Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.166-180
- Keywords: Maximum principles, Monotone iterations, Quenching, Reaction-diffusion system, Singular boundary condition
- Ankara University Affiliated: No
Abstract
In this paper, we study the quenching behavior of the solution of a semilinear reaction-diffusion system with singular boundary condition. We first get a local exisence result. Then we prove that the solution quenches only on the right boundary infinite time and the time derivative blows up at the quenching time under certain conditions. Finally, we get lower bounds and upper bounds for quenching time.