Turkish Journal of Mathematics
DOI
10.3906/mat-1502-20
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 in finite 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.
Keywords
Reaction-diffusion system, singular boundary condition, quenching, maximum principles, monotone iterations
First Page
166
Last Page
180
Recommended Citation
SELÇUK, BURHAN
(2016)
"Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition,"
Turkish Journal of Mathematics: Vol. 40:
No.
1, Article 15.
https://doi.org/10.3906/mat-1502-20
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss1/15
