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

G. Bellettlni; M. Novaga; Maurizio Paolini

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

G. Bellettlni
, M. Novaga
, Maurizio Paolini

University of Rome Tor Vergata
University of Pisa

Research output: Contribution to journal › Article › peer-review

33 Citations (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.

Original language	English
Pages (from-to)	415-446
Number of pages	32
Journal	Interfaces and Free Boundaries
Publication status	Published - 2001

Keywords

anisotropic mean curvature flow
crystalline anisotropy

Cite this

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title = "Characterization of facet-breaking for nonsmooth mean curvature flow in the convex case",

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.",

keywords = "anisotropic mean curvature flow, crystalline anisotropy, anisotropic mean curvature flow, crystalline anisotropy",

author = "G. Bellettlni and M. Novaga and Maurizio Paolini",

year = "2001",

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journal = "Interfaces and Free Boundaries",

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T1 - Characterization of facet-breaking for nonsmooth mean curvature flow in the convex case

AU - Bellettlni, G.

AU - Novaga, M.

AU - Paolini, Maurizio

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

KW - anisotropic mean curvature flow

KW - crystalline anisotropy

KW - anisotropic mean curvature flow

KW - crystalline anisotropy

UR - http://hdl.handle.net/10807/20032

M3 - Article

SN - 1463-9963

SP - 415

EP - 446

JO - Interfaces and Free Boundaries

JF - Interfaces and Free Boundaries

ER -

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

Abstract

Keywords

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