Reaction-diffusion in viscoelastic materials

Authors:
J. A. Ferreira;P. de Oliveira;P. M. Silva
Affiliations:
CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal;CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal;Department of Physics and Mathematics, ISEC, Rua Pedro Nunes, Quinta da Nora, 3030-199 Coimbra, Portugal
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

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Abstract

In this paper we study initial boundary value problems that describe reaction-diffusion phenomena in viscoelastic materials. The mathematical model, represented by an integro-differential equation coupled with an ordinary differential equation, is analyzed from theoretical and numerical viewpoints.