Convex geometric reasoning for crystalline energies

“Convex geometric reasoning for crystalline energies” ,  Thaicia Stona …  2016  ,  No . 1 ,  P. 51 – 62   , DOI :  http://dx.doi.org/10.22039/cjcme.2016.05

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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