On approximate solutions to the wavefront speed of reaction–diffusion–convection problem in nonuniform media

Article type: Research Article

Authors: Rocha, E.M. | Rodrigues, M.M.

Affiliations: Departamento de Matemática, Universidade de Aveiro, Portugal

Note: [] Correspondent author: M.M. Rodrigues, Departamento de Matemática, Universidade de Aveiro, P-3810-139 Aveiro, Portugal. Tel.: +351 234370359; Fax: +351 234370066; E-mail: mrodrigues@ua.pt

Abstract: A class of perturbed reaction–diffusion–convection (R–D–C) equations with reaction, diffusion and convection functions in nonuniform media is studied. By using singular perturbation analysis and Hamilton–Jacobi theory, the wavefront speed of such R–D–C equations is computed for different classes of nonlinearities.

Keywords: reaction–diffusion–convection, wavefront speed, singular perturbation analysis, Hamilton–Jacobi dynamics

DOI: 10.3233/ASY-2009-0958

Journal: Asymptotic Analysis, vol. 66, no. 1, pp. 51-59, 2010