On Blow-up of A Reaction Diffusion System Coupled in Both Equations and Boundary Conditions

Abstract

We study the blow up solutions of a semilinear reaction diffusion system coupled in both equations and boundary conditions. The main purpose is to understand how the reaction terms and the absorption terms affect the blow-up properties. We derive the lower and upper bound for the blow-up rate, and find the blow-up set under certain assumptions.

11 pages