Carnegie Mellon University
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Phase transitions and generalized motion by mean curvature

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journal contribution
posted on 1991-01-01, 00:00 authored by L. C. Evans, H. Mete. Soner, Panagiotis E. Souganidis
Abstract: "We study the limiting behavior of solutions to appropriately rescaled versions of the Allen-Cahn equation, a model for phase transition in polycrystalline material. We rigourously establish the existence in the limit of a phase-antiphase interface evolving according to mean curvature motion. This assertion is valid for all positive time, the motion interpreted in the generalized sense of Evans-Spruck and Chen-Giga-Goto after the onset of geometric singularities."

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1991-01-01

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