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

Giovanni Bellettini | Zendy; Matteo Novaga | Zendy; Maurizio Paolini | Zendy

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

Author(s) -

Giovanni Bellettini,

Matteo Novaga,

Maurizio Paolini

Publication year - 2001

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/47

Subject(s) - facet (psychology) , regular polygon , curvature , bending , flow (mathematics) , mathematics , process (computing) , characterization (materials science) , geometry , materials science , physics , computer science , optics , composite material , psychology , social psychology , personality , big five personality traits , operating system

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

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