Europhys. Lett, 33 (6), pp. 429-434 (1996)
Pattern and velocity selection of fronts propagating in modulated media
J. Armero , A. M. Lacasta , L. Ramírez-Piscina , J. Casademunt , J. M. Sancho and F. Sagués
Departament d'Estructura i Constituents de la
Matèria, Universitat de Barcelona, Av. Diagonal 647, E-08028 Barcelona, Spain
Departament de Física Aplicada, Universitat Politècnica de Catalunya
Av. Dr. Gregorio Marañón 50, E-08028 Barcelona, Spain
Departament de Química Física, Universitat de Barcelona, Av. Diagonal 647, E-08028 Barcelona, Spain
Institute for Nonlinear Science, University of California, San Diego, 9500 Gilman Drive, Dept 0407, La Jolla, CA 92093-0407, USA
(received 27 June 1995; accepted in final form 9 January 1996)
PACS. 47.54+r - Pattern selection.
PACS. 03.40Kf - Waves and wave propagation: general mathematical aspects.
PACS. 47.20Ky - Nonlinearity (including bifurcation theory).
Abstract:We study the problem of pattern and velocity selection of morphologically stable two-dimensional fronts propagating in a spatially modulated medium. The generic system is governed by a local equation and evolves towards a non-trivial steady state with a spatial structure which arises from non-local competition effects and does not necessarily mimic the local structure externally fixed by the modulation. The dynamical process leading to this steady state is studied both analytically and numerically.
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