Calculus of Variations and Geometric Measure Theory

A. Braides - G. Scilla

Nucleation and backward motion of discrete interfaces

created by braidesa on 19 Sep 2013
modified by scilla on 02 Jan 2014


Published Paper

Inserted: 19 sep 2013
Last Updated: 2 jan 2014

Journal: C. R. Acad. Sci. Paris
Volume: 351
Number: 21-22
Pages: 803-806
Year: 2013
Doi: 10.1016/j.crma.2013.10.008


We use a discrete approximation of the motion by crystalline curvature to define an evolution of sets from a single point (nucleation) following a criterion of “maximization” of the perimeter, formally giving a backward version of the motion by crystalline curvature. This evolution depends on the approximation chosen.

Keywords: discrete systems, Geometric motion, Backward motion, Nucleation