Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502985 | Journal of Mathematical Analysis and Applications | 2005 | 13 Pages |
Abstract
We study a parabolic system of two non-linear reaction-diffusion equations completely coupled through source terms and with power-like diffusivity. Under adequate hypotheses on the initial data, we prove that non-simultaneous blow-up is sometimes possible; i.e., one of the components blows up while the other remains bounded. The conditions for non-simultaneous blow-up rely strongly on the diffusivity parameters and significant differences appear between the fast-diffusion and the porous medium case. Surprisingly, flat (homogeneous in space) solutions are not always a good guide to determine whether non-simultaneous blow-up is possible.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Cristina Brändle, Fernando Quirós, Julio D. Rossi,