WAVE-FRONTS IN BISTABLE HYPERBOLIC REACTION-DIFFUSION SYSTEMS

Authors
MENDEZ V COMPTE A
Citation
V. Mendez et A. Compte, WAVE-FRONTS IN BISTABLE HYPERBOLIC REACTION-DIFFUSION SYSTEMS, Physica. A, 260(1-2), 1998, pp. 90-98
Citations number
5
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
260
Issue
1-2
Year of publication
1998
Pages
90 - 98
Database
ISI
SICI code
0378-4371(1998)260:1-2<90:WIBHRS>2.0.ZU;2-O
Abstract
We study the dynamics of wavefronts that arise in bistable systems wit h correlated diffusion in time. For the piecewise linear reaction term the speed of propagation of these fronts is obtained analytically. Th e shape and the width of the front are analyzed by means of two differ ent methods usually employed for parabolic diffusion. It is shown that for hyperbolic reaction-diffusion equations the wavefront presents a discontinuity in the slope. (C) 1998 Elsevier Science B.V. All rights reserved.