Facet-breaking for three dimensional crystals evolving by mean curvature

Maurizio Paolini, Giovanni Bellettini, Matteo Novaga, G. Bellettini, M. Novaga

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

39 Citazioni (Scopus)

Abstract

We show two examples of facet-breaking for three-dimensional polyhedral surfaces evolving by crystalline mean curvature. The analysis shows that creation of new facets during the evolution is a common phenomenon. The first example is completely rigorous, and the evolution after the subdivision of one facet is explicitly computed for short times. Moreover, the constructed evolution is unique among the crystalline flows with the given initial datum. The second example suggests that curved portions of the boundary may appear even starting from a polyhedral set close to the Wulff shape.
Lingua originaleEnglish
pagine (da-a)39-55
Numero di pagine17
RivistaInterfaces and Free Boundaries
Stato di pubblicazionePubblicato - 1999

Keywords

  • crystalline curvature

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