Effect of memory kernels on the speed of reaction-diffusion fronts

V. Méndez, S. Fedotov, W. Horsthemke

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We study the role of a memory kernel, in the constitutive equation for the particle flux, on the speed of propagating fronts in reaction-diffusion systems. We prove for general memory kernels the existence of propagating fronts with a speed bounded by the characteristics of the transport process, even in the fast-reaction limit. This upper bound depends only on the zero-delay value of the memory kernel. To illustrate our results, we consider examples of some functional forms for the memory kernel. Copyright © EPLA, 2007.
Idioma originalEnglish
Número d’article58006
RevistaEurophysics Letters
Estat de la publicacióPublicada - 1 de març 2007


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