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

Maurizio Paolini, G. Bellettlni, M. Novaga

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

33 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)415-446
Numero di pagine32
RivistaInterfaces and Free Boundaries
Stato di pubblicazionePubblicato - 2001

Keywords

  • anisotropic mean curvature flow
  • crystalline anisotropy

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