Abstract
We study wave front propagation in spatially discrete reaction-diffusion equations with cubic sources. Depending on the symmetry of the source, such wave fronts appear to be pinned or to glide at a certain speed. We describe the transition of travelling waves to stationary solutions and give conditions for front pinning. The nature of these depinning transitions seems to be preserved in higher dimensions. Finally, we discuss the different behavior observed when inertial terms are included in the model.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Carpio, A. (2005). Wave Propagation in Discrete Media. In: Bandle, C., et al. Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 63. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7384-9_14
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DOI: https://doi.org/10.1007/3-7643-7384-9_14
Publisher Name: Birkhäuser Basel
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