Speed of reaction-diffusion fronts in spatially heterogeneous media

Vicenç Méndez; Joaquim Fort; Horacio G. Rotstein; Sergei Fedotov

doi:10.1103/PhysRevE.68.041105

Speed of reaction-diffusion fronts in spatially heterogeneous media

Vicenç Méndez, Joaquim Fort, Horacio G. Rotstein, Sergei Fedotov

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

2 Scopus citations

Abstract

The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.

Original language	English (US)
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	68
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.68.041105
State	Published - 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.68.041105

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title = "Speed of reaction-diffusion fronts in spatially heterogeneous media",

abstract = "The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.",

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T1 - Speed of reaction-diffusion fronts in spatially heterogeneous media

AU - Méndez, Vicenç

AU - Fort, Joaquim

AU - Rotstein, Horacio G.

AU - Fedotov, Sergei

PY - 2003

Y1 - 2003

N2 - The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.

AB - The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.

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JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 4

ER -

Speed of reaction-diffusion fronts in spatially heterogeneous media

Abstract

All Science Journal Classification (ASJC) codes

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