Transition from pushed-to-pulled fronts in piecewise linear reaction-diffusion systems

V. Méndez; V. Ortega-Cejas; E. P. Zemskov; J. Casas-Vázquez

doi:10.1016/j.physa.2006.09.007

Transition from pushed-to-pulled fronts in piecewise linear reaction-diffusion systems

V. Méndez, V. Ortega-Cejas, E. P. Zemskov, J. Casas-Vázquez

Department of Physics

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

3 Citations (Scopus)

Abstract

The front dynamics in reaction-diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity position in the reaction function. In particular, we study how the transition depends on the properties of the reaction term and on the delay time. Our results are in good agreement with the numerical solutions of the model. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	51-64
Journal	Physica A: Statistical Mechanics and its Applications
Volume	375
DOIs	https://doi.org/10.1016/j.physa.2006.09.007
Publication status	Published - 15 Feb 2007

Keywords

Pulled fronts
Pushed fronts
Reaction-diffusion

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10.1016/j.physa.2006.09.007

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title = "Transition from pushed-to-pulled fronts in piecewise linear reaction-diffusion systems",

abstract = "The front dynamics in reaction-diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity position in the reaction function. In particular, we study how the transition depends on the properties of the reaction term and on the delay time. Our results are in good agreement with the numerical solutions of the model. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Pulled fronts, Pushed fronts, Reaction-diffusion",

author = "V. M{\'e}ndez and V. Ortega-Cejas and Zemskov, {E. P.} and J. Casas-V{\'a}zquez",

year = "2007",

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doi = "10.1016/j.physa.2006.09.007",

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journal = "Physica A: Statistical Mechanics and its Applications",

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TY - JOUR

T1 - Transition from pushed-to-pulled fronts in piecewise linear reaction-diffusion systems

AU - Méndez, V.

AU - Ortega-Cejas, V.

AU - Zemskov, E. P.

AU - Casas-Vázquez, J.

PY - 2007/2/15

Y1 - 2007/2/15

N2 - The front dynamics in reaction-diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity position in the reaction function. In particular, we study how the transition depends on the properties of the reaction term and on the delay time. Our results are in good agreement with the numerical solutions of the model. © 2006 Elsevier B.V. All rights reserved.

AB - The front dynamics in reaction-diffusion equations with a piecewise linear reaction term is studied. A transition from pushed-to-pulled fronts when they propagate into the unstable state is found using a variational principle. This transition occurs for a critical value of the discontinuity position in the reaction function. In particular, we study how the transition depends on the properties of the reaction term and on the delay time. Our results are in good agreement with the numerical solutions of the model. © 2006 Elsevier B.V. All rights reserved.

KW - Pulled fronts

KW - Pushed fronts

KW - Reaction-diffusion

U2 - 10.1016/j.physa.2006.09.007

DO - 10.1016/j.physa.2006.09.007

M3 - Article

SN - 0378-4371

VL - 375

SP - 51

EP - 64

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Transition from pushed-to-pulled fronts in piecewise linear reaction-diffusion systems

Abstract

Keywords

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