Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain

  • Chang-Yeol Jung, Eunhee Park, Roger Temam
  • Advances in Nonlinear Analysis, January 2017, De Gruyter
  • DOI: 10.1515/anona-2015-0148

Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain

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.

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http://dx.doi.org/10.1515/anona-2015-0148

The following have contributed to this page: Professor Roger M Temam and Chang-Yeol Jung