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
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.File in questo prodotto:
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