Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition

Authors: BURHAN SELÇUK

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

Full Text: PDF