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 allows to predict exactly where a subdivision of a not calibrable facet takes place in the evolution process.
Bellettini, G., Novaga, M., Paolini, M., Characterization of facet-breaking for nonsmooth mean curvature flow in the convex case, <<INTERFACES AND FREE BOUNDARIES>>, 2001; (3): 415-446 [http://hdl.handle.net/10807/20032]
Characterization of facet-breaking for nonsmooth mean curvature flow in the convex case
Paolini, Maurizio
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 allows to predict exactly where a subdivision of a not calibrable facet takes place in the evolution process.
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