Wavefronts in bistable hyperbolic reaction - Diffusion systems

Vicenç Méndez; Albert Compte

doi:10.1016/S0378-4371(98)00281-7

Wavefronts in bistable hyperbolic reaction - Diffusion systems

Vicenç Méndez^*, Albert Compte

^*Autor corresponent d’aquest treball

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Resum

We study the dynamics of wavefronts that arise in bistable systems with correlated diffusion in time. For the piecewise linear reaction term the speed of propagation of these fronts is obtained analytically. The shape and the width of the front are analyzed by means of two different methods usually employed for parabolic diffusion. It is shown that for hyperbolic reaction -diffusion equations the wavefront presents a discontinuity in the slope.

Idioma original	Anglès
Pàgines (de-a)	90-98
Nombre de pàgines	9
Revista	Physica A: Statistical Mechanics and its Applications
Volum	260
Número	1-2
DOIs	https://doi.org/10.1016/S0378-4371(98)00281-7
Estat de la publicació	Publicada - 1 de nov. 1998

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title = "Wavefronts in bistable hyperbolic reaction - Diffusion systems",

abstract = "We study the dynamics of wavefronts that arise in bistable systems with correlated diffusion in time. For the piecewise linear reaction term the speed of propagation of these fronts is obtained analytically. The shape and the width of the front are analyzed by means of two different methods usually employed for parabolic diffusion. It is shown that for hyperbolic reaction -diffusion equations the wavefront presents a discontinuity in the slope.",

author = "Vicen{\c c} M{\'e}ndez and Albert Compte",

year = "1998",

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T1 - Wavefronts in bistable hyperbolic reaction - Diffusion systems

AU - Méndez, Vicenç

AU - Compte, Albert

PY - 1998/11/1

Y1 - 1998/11/1

N2 - We study the dynamics of wavefronts that arise in bistable systems with correlated diffusion in time. For the piecewise linear reaction term the speed of propagation of these fronts is obtained analytically. The shape and the width of the front are analyzed by means of two different methods usually employed for parabolic diffusion. It is shown that for hyperbolic reaction -diffusion equations the wavefront presents a discontinuity in the slope.

AB - We study the dynamics of wavefronts that arise in bistable systems with correlated diffusion in time. For the piecewise linear reaction term the speed of propagation of these fronts is obtained analytically. The shape and the width of the front are analyzed by means of two different methods usually employed for parabolic diffusion. It is shown that for hyperbolic reaction -diffusion equations the wavefront presents a discontinuity in the slope.

UR - http://www.scopus.com/inward/record.url?scp=0032205849&partnerID=8YFLogxK

U2 - 10.1016/S0378-4371(98)00281-7

DO - 10.1016/S0378-4371(98)00281-7

M3 - Article

AN - SCOPUS:0032205849

SN - 0378-4371

VL - 260

SP - 90

EP - 98

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

ER -

Wavefronts in bistable hyperbolic reaction - Diffusion systems

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