Mathematics > Dynamical Systems
[Submitted on 11 Sep 2014]
Title:Pinning and Unpinning in Nonlocal Systems
View PDFAbstract: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.
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