Front propagation in spatially modulated media

A two-dimensional reaction-diffusion front which propagates in a modulated medium is studied. The modulation consists of a spatial variation of the local front velocity in the transverse direction to that of the front propagation. We study analytically and numerically the final steady-state velocity...

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Detalles Bibliográficos
Autores: Armero, J., Lacasta Palacio, Ana María|||0000-0002-9060-6043, Ramírez de la Piscina Millán, Laureano|||0000-0003-4019-245X, Casademunt, Jaume, Sancho, Jose Maria, Sagués Mestre, Francesc
Tipo de recurso: artículo
Fecha de publicación:1997
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/2598
Acceso en línea:https://hdl.handle.net/2117/2598
https://dx.doi.org/10.1103/PhysRevE.56.5405
Access Level:acceso abierto
Palabra clave:Nonlinear systems
Nonlinear dynamics
Front propagation
Chemical waves
Excitable media
Inhomogeneous media
Sistemes no lineals
Àrees temàtiques de la UPC::Física
Descripción
Sumario:A two-dimensional reaction-diffusion front which propagates in a modulated medium is studied. The modulation consists of a spatial variation of the local front velocity in the transverse direction to that of the front propagation. We study analytically and numerically the final steady-state velocity and shape of the front, resulting from a nontrivial interplay between the local curvature effects and the global competition process between different maxima of the control parameter. The transient dynamics of the process is also studied numerically and analytically by means of singular perturbation techniques.