Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616574 | Journal of Mathematical Analysis and Applications | 2013 | 14 Pages |
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
N.N. Nefedov, L. Recke, K.R. Schneider,