Convex geometric reasoning for crystalline energies

Thaicia Stona de Almeida

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arXiv · 2102.12683

Convex geometric reasoning for crystalline energies

Thaicia Stona de Almeida

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Abstract

The present work revisits the classical Wulff problem restricted to crystalline integrands, a class of surface energies that gives rise to finitely faceted crystals. The general proof of the Wulff theorem was given by J.E. Taylor (1978) by methods of Geometric Measure Theory. This work follows a simpler and direct way through Minkowski Theory by taking advantage of the convex properties of the considered Wulff shapes.

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Thaicia Stona de Almeida. 2021-02-25. Convex geometric reasoning for crystalline energies. https://arxiv.org/abs/2102.12683

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