What is it about?
In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain. We fully analyse the singular behaviours of the solutions at any given order with respect to the small parameter ε, with suitable asymptotic expansions consisting of the outer solutions and of the boundary layer correctors. The systematic treatment of the nonlinear reaction terms at any given order is novel along the singular perturbation analysis. We believe that the analysis can be suitably extended to other nonlinear problems.
Featured Image
Read the Original
This page is a summary of: Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain, Advances in Nonlinear Analysis, January 2017, De Gruyter,
DOI: 10.1515/anona-2015-0148.
You can read the full text:
Contributors
The following have contributed to this page