Fronts in lattices



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Carpio, Ana and Bonilla, L.L. (2012) Fronts in lattices. In Conference on Continuum and kinetic methods in the theory of shocks, fronts, dislocations and interfaces, Heraklion, Crete. (Submitted)

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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].

Item Type:Conference or Workshop Item (Lecture)
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Mathematics > Mathematical analysis
ID Code:75883
Deposited On:14 Dec 2022 13:48
Last Modified:14 Dec 2022 14:59

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