Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
713621 | IFAC-PapersOnLine | 2015 | 5 Pages |
Abstract
We examine the motion of phase interfaces in a diffusive lattice equation with bistable nonlinearity. We first show by heuristic arguments that the macroscopic evolution in the parabolic scaling limit is governed by a free boundary problem with hysteresis. Then, starting out from results for a piecewise affine nonlinearity whose backward region is a single point, we discuss ideas for a rigorous proof.
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