Article ID Journal Published Year Pages File Type
4611611 Journal of Differential Equations 2009 15 Pages PDF
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