RT Journal Article
T1 Depinning transitions in discrete reaction-diffusion equations
A1 Carpio Rodríguez, Ana María
A1 Bonilla, L.L.
AB We consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give conditions for front pinning (propagation failure). The critical parameter values are characterized at the depinning transition, and an approximation for the front speed just beyond threshold is given.
PB Society for Industrial and Applied Mathematics
SN 0036-1399
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/57209
UL https://hdl.handle.net/20.500.14352/57209
LA eng
NO Carpio Rodríguez, A. M., Bonilla, L. L. «Depinning Transitions in Discrete Reaction-Diffusion Equations». SIAM Journal on Applied Mathematics, vol. 63, n.o 3, enero de 2003, pp. 1056-82. DOI.org (Crossref), https://doi.org/10.1137/S003613990239006X.
NO Madrid Ciencia y Tecnología
NO Comunidad de Madrid
NO Unión Europea
DS Docta Complutense
RD 11 abr 2025