Reaction–diffusion in viscoelastic materials

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摘要

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.

论文关键词:Reaction–diffusion system,Integro-differential equation,Energy estimate,Numerical method,Stability,Convergence

论文评审过程:Received 30 September 2010, Revised 21 December 2011, Available online 5 January 2012.

论文官网地址:https://doi.org/10.1016/j.cam.2011.12.020