Blowup, global fast and slow solutions to a parabolic system with double fronts free boundary
Qunying Zhang, Zhigui Lin · Discrete and Continuous Dynamical Systems - B · 2011
The purpose of this paper is toinvestigate a reaction-diffusion model with double fronts freeboundary. Our approach to the local existence and uniqueness of thesolution is based on the contraction mapping theorem. Also we studythe blowup property of the solution. The result shows that blowupoccurs if the initial datum is large enough. Finallythe long-time behavior of global solutions is presented. It is proved that the solutionis global and fast, which decays uniformly at anexponential rate if the initial datum is small, while there is a global and slow solution provided that the initial value issuitably large.