Speed shift in reaction-diffusion equations with cutoff

E. P. Zemskov; V. Méndez

doi:10.1016/j.physa.2006.10.057

Speed shift in reaction-diffusion equations with cutoff

E. P. Zemskov, V. Méndez

Department of Physics

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

Abstract

Front solutions in a reaction-diffusion equations with cutoff are obtained analytically using piecewise linear approximations of the reaction term. The piecewise emulation allows us to study analytically the effect of the cutoff for fronts propagating into metastable and unstable states. A general relationship between the cutoff threshold and the parameters involved into the reaction term is derived. Our results are in excellent agreement with that existing in the literature and prove that the piecewise emulation is an useful procedure to deal with complex reaction-diffusion equations under cutoff. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	208-214
Journal	Physica A: Statistical Mechanics and its Applications
Volume	376
DOIs	https://doi.org/10.1016/j.physa.2006.10.057
Publication status	Published - 15 Mar 2007

Keywords

Cutoff
Reaction-diffusion
Wavefronts

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10.1016/j.physa.2006.10.057

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title = "Speed shift in reaction-diffusion equations with cutoff",

abstract = "Front solutions in a reaction-diffusion equations with cutoff are obtained analytically using piecewise linear approximations of the reaction term. The piecewise emulation allows us to study analytically the effect of the cutoff for fronts propagating into metastable and unstable states. A general relationship between the cutoff threshold and the parameters involved into the reaction term is derived. Our results are in excellent agreement with that existing in the literature and prove that the piecewise emulation is an useful procedure to deal with complex reaction-diffusion equations under cutoff. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Cutoff, Reaction-diffusion, Wavefronts",

author = "Zemskov, {E. P.} and V. M{\'e}ndez",

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T1 - Speed shift in reaction-diffusion equations with cutoff

AU - Zemskov, E. P.

AU - Méndez, V.

PY - 2007/3/15

Y1 - 2007/3/15

N2 - Front solutions in a reaction-diffusion equations with cutoff are obtained analytically using piecewise linear approximations of the reaction term. The piecewise emulation allows us to study analytically the effect of the cutoff for fronts propagating into metastable and unstable states. A general relationship between the cutoff threshold and the parameters involved into the reaction term is derived. Our results are in excellent agreement with that existing in the literature and prove that the piecewise emulation is an useful procedure to deal with complex reaction-diffusion equations under cutoff. © 2006 Elsevier B.V. All rights reserved.

AB - Front solutions in a reaction-diffusion equations with cutoff are obtained analytically using piecewise linear approximations of the reaction term. The piecewise emulation allows us to study analytically the effect of the cutoff for fronts propagating into metastable and unstable states. A general relationship between the cutoff threshold and the parameters involved into the reaction term is derived. Our results are in excellent agreement with that existing in the literature and prove that the piecewise emulation is an useful procedure to deal with complex reaction-diffusion equations under cutoff. © 2006 Elsevier B.V. All rights reserved.

KW - Cutoff

KW - Reaction-diffusion

KW - Wavefronts

U2 - 10.1016/j.physa.2006.10.057

DO - 10.1016/j.physa.2006.10.057

M3 - Article

SN - 0378-4371

VL - 376

SP - 208

EP - 214

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Speed shift in reaction-diffusion equations with cutoff

Abstract

Keywords

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