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Pinning and Unpinning in Nonlocal Systems

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.

preprint2014arXivOpen access
Taylor AndersonGregory FayeArnd ScheelDavid Stauffer
math.DS
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Open access4 authors1 topic
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Taylor AndersonGregory FayeArnd ScheelDavid Stauffer

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