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 us to predict exactly where a subdivision of a non-calibrable facet takes place in the evolution process.
Bellettini, G., Novaga, M., Paolini, M. (2001). Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case. INTERFACES AND FREE BOUNDARIES, 3(4), 415-446.
Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case
Bellettini, Giovanni;
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 allows us to predict exactly where a subdivision of a non-calibrable facet takes place in the evolution process.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11365/1017386