Bellettini, G.; Novaga, M.; Paolini, M. Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. (English) Zbl 0989.35127 Interfaces Free Bound. 3, No. 4, 415-446 (2001). Summary: 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. Cited in 1 ReviewCited in 22 Documents MSC: 35Q72 Other PDE from mechanics (MSC2000) 35R35 Free boundary problems for PDEs 74E15 Crystalline structure 82D25 Statistical mechanics of crystals Keywords:crystalline mean curvature; anisotropic evolutions; calibrable facet PDF BibTeX XML Cite \textit{G. Bellettini} et al., Interfaces Free Bound. 3, No. 4, 415--446 (2001; Zbl 0989.35127) Full Text: DOI OpenURL