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.
Paolini, M., Capillarity and calibrability of sets in crystalline mean curvature flow, <<OBERWOLFACH REPORTS>>, 2006; (Aprile): 560-562 [http://hdl.handle.net/10807/19761]
Capillarity and calibrability of sets in crystalline mean curvature flow
Paolini, Maurizio
2006
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.
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