Article ID Journal Published Year Pages File Type
713621 IFAC-PapersOnLine 2015 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics