We investigate the breaking and bending phenomena of a facet of a three dimensional crystal which evolves under crystalline mean curvature flow. We give necessary and sufficient conditions for a facet to be calibrable, i.e. not to break or bend under the evolution process. We also give a criterion which allow to predict exactly where a subdivision of a not calibrable facet takes place in the evolution process.

Characterization of facet-breaking for nonsmooth mean curvature flow in the convex case

NOVAGA, MATTEO;
2001-01-01

Abstract

We investigate the breaking and bending phenomena of a facet of a three dimensional crystal which evolves under crystalline mean curvature flow. We give necessary and sufficient conditions for a facet to be calibrable, i.e. not to break or bend under the evolution process. We also give a criterion which allow to predict exactly where a subdivision of a not calibrable facet takes place in the evolution process.
2001
Bellettini, G; Novaga, Matteo; Paolini, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/68708
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