On Blow-up of A Reaction Diffusion System Coupled in Both Equations and   Boundary Conditions
  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. 
Maan A. Rasheed and Miroslav Chlebik
math.AP