Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611611 | Journal of Differential Equations | 2009 | 15 Pages |
Abstract
Shadow systems are often used to approximate reaction–diffusion systems when one of the diffusion rates is large. In this paper, we study the global existence and blow-up phenomena for shadow systems. Our results show that even for these fundamental aspects, there are serious discrepancies between the dynamics of the reaction–diffusion systems and that of their corresponding shadow systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis