2002/08/21 by A. Carpio, L. L. Bonilla
Physics and Astronomy · #cond-mat.mtrl-sci #cond-mat.stat-mech
published as SIAM J. Appl. Math. 63, 1056-1082 (2003) · 27 pages, 12 figures, to appear in SIAM J. Appl. Math
arxiv created 2002/08/21 · arxiv updated 2009/11/30
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.