Capillarity and calibrability of sets in crystalline mean curvature flow

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Abstract

In this extended abstract we investigate some relations between existence conditions of a particular capillarity problem with tangential contact angle and evolution by mixed crystalline curvature with a cylindrical Wulff shape. Bending/breaking of faces for crystalline evolution indeed correspond to cross section for the capillary container for which no solution of the capillarity problem exists in the form of a subgraph.
Original languageEnglish
Pages (from-to)560-562
Number of pages3
JournalOBERWOLFACH REPORTS
Publication statusPublished - 2006

Keywords

  • anisotropy
  • interface evolution
  • partial differential equations

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