Open AccessStable closed equilibria for anisotropic surface energies: Surfaces with edges
Author(s) -
Bennett Palmer
Publication year - 2012
Publication title -
the journal of geometric mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.511
H-Index - 17
eISSN - 1941-4897
pISSN - 1941-4889
DOI - 10.3934/jgm.2012.4.89
Subject(s) - surface (topology) , anisotropy , stability (learning theory) , materials science , geometry , mathematics , physics , optics , computer science , machine learning
We study the stability of closed, not necessarily smooth, equilibrium surfaces of an anisotropic surface energy for which the Wulff shape is not necessarily smooth. We show that if the Cahn Hoffman field can be extended continuously to the whole surface and if the surface is stable, then the surface is, up to rescaling, the Wulff shape.
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