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

V. Méndez; S. Fedotov; W. Horsthemke

doi:10.1209/0295-5075/77/58006

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

V. Méndez, S. Fedotov, W. Horsthemke

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	58006
Journal	Europhysics Letters
Volume	77
DOIs	https://doi.org/10.1209/0295-5075/77/58006
Publication status	Published - 1 Mar 2007

Access to Document

10.1209/0295-5075/77/58006

Cite this

@article{a07ff51563fe4464ad6d12a5892b1c3e,

title = "Effect of memory kernels on the speed of reaction-diffusion fronts",

abstract = "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 {\textcopyright} EPLA, 2007.",

author = "V. M{\'e}ndez and S. Fedotov and W. Horsthemke",

year = "2007",

month = mar,

day = "1",

doi = "10.1209/0295-5075/77/58006",

language = "English",

volume = "77",

}

TY - JOUR

T1 - Effect of memory kernels on the speed of reaction-diffusion fronts

AU - Méndez, V.

AU - Fedotov, S.

AU - Horsthemke, W.

PY - 2007/3/1

Y1 - 2007/3/1

N2 - 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.

AB - 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.

U2 - 10.1209/0295-5075/77/58006

DO - 10.1209/0295-5075/77/58006

M3 - Article

SN - 0295-5075

VL - 77

JO - Europhysics Letters

JF - Europhysics Letters

M1 - 58006

ER -

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

Abstract

Access to Document

Fingerprint

Cite this