Article ID Journal Published Year Pages File Type
4616574 Journal of Mathematical Analysis and Applications 2013 14 Pages PDF
Abstract

We consider a singularly perturbed parabolic periodic boundary value problem for a reaction–advection–diffusion equation. We construct the interior layer type formal asymptotics and propose a modified procedure to get asymptotic lower and upper solutions. By using sufficiently precise lower and upper solutions, we prove the existence of a periodic solution with an interior layer and estimate the accuracy of its asymptotics. Moreover, we are able to establish the asymptotic stability of this solution.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,