2026-06-26T08:41:06Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/459802024-07-09T14:28:35Zcom_20.500.14352_14col_20.500.14352_20

Carpio Rodríguez, Ana María Bonilla, Luis L. 2023-06-20T06:04:39Z 2023-06-20T06:04:39Z 2012-06 https://hdl.handle.net/20.500.14352/45980 Simple models of defect motion in lattices identify dislocations [1] and cracks [8,9] with discrete traveling waves [4,10]. In overdamped limits, such lattice models often become discrete bistable equations [3,5], similar to the ones encountered in biology (to describe nerve propagation [7], for instance). In this talk, we will review recent results on front propagation in spatially discrete models, discussing existence of stationary and travelling wave fronts [2,5,6] together with strategies to predict their speeds and the thresholds for propagation failure [3]. eng open access Fronts in lattices conference paper