Pinning and Unpinning in Nonlocal Systems
Taylor Anderson, Grégory Faye, Arnd Scheel, Stauffer, David · arXiv (Cornell University) · 2014
We investigate pinning regions and unpinning asymptotics in nonlocal equations. We show that phenomena are related to but different from pinning in discrete and inhomogeneous media. We establish unpinning asymptotics using geometric singular perturbation theory in several examples. We also present numerical evidence for the dependence of unpinning asymptotics on regularity of the nonlocal convolution kernel.