Volume 33, Number 6, February III 1996
|Page(s)||429 - 434|
|Section||Classical areas of phenomenology|
|Published online||01 September 2002|
Pattern and velocity selection of fronts propagating in modulated media
Departament d'Estructura i Constituents de la
Matèria, Universitat de Barcelona, Av. Diagonal 647, E-08028 Barcelona, Spain
2 Departament de Física Aplicada, Universitat Politècnica de Catalunya Av. Dr. Gregorio Marañón 50, E-08028 Barcelona, Spain
3 Institute for Nonlinear Science, University of California, San Diego, 9500 Gilman Drive, Dept 0407, La Jolla, CA 92093-0407, USA
4 Departament de Química Física, Universitat de Barcelona, Av. Diagonal 647, E-08028 Barcelona, Spain
Accepted: 9 January 1996
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.
PACS: 47.54.+r – Pattern selection / 03.40.Kf – Waves and wave propagation: general mathematical aspects / 47.20.Ky – Nonlinearity (including bifurcation theory)
© EDP Sciences, 1996
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