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arXiv · 1710.02205

Minimizers for a fractional Allen-Cahn equation in a periodic medium

Dayana Pagliardini
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Abstract

We aim to study the solutions of a fractional mesoscopic model of phase transitions in a periodic medium. After investigating the geometric properties of the interface of the associated minimal solutions, we construct minimal interfaces lying to a strip of prescribed direction and universal width.

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Dayana Pagliardini. 2017-09-25. Minimizers for a fractional Allen-Cahn equation in a periodic medium. https://arxiv.org/abs/1710.02205

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