Singular perturbation analysis for convection-diffusion-reaction equation on nonuniform media

Abstract

In this paper we study the a one-dimensional reaction-diffusion-convection (R-D-C) equation with weak spatial non-uniformities to the diffusion and reaction rates. The convection is represented by a uniform flow field. Singular perturbation analysis will be used to compute the speed of the front as well as the asymptotic solution.

Keywords:

• Nonuniform reaction
• Nonuniform diffusion
• Singular perturbation analysis
• Solvability integral condition
• Propagation of fronts

Acknowledgements

The author wishes to express his gratitude to Professor Paula Oliveira and Professor José Augusto Ferreira of the Mathematics Department, School of Sciences and Technology, University of Coimbra. The author wishes also to express his gratitude to the referees, for having helped to improve the article.