Comptes Rendus
no. 21-22
Partial differential equations/Calculus of variations
Nucleation and backward motion of discrete interfaces

Presented by: Haïm Brézis

Andrea Braides1; Giovanni Scilla2
1 Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, via della Ricerca Scientifica 1, 00133 Roma, Italy
2 Dipartimento di Matematica ‘G. Castelnuovo’, ‘Sapienza’ Università di Roma, piazzale Aldo Moro 5, 00185 Roma, Italy
Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 803-806.

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.

Nous utilisons une approximation discrète du mouvement par la courbure cristalline pour définir une évolution des ensemples à partir dʼun seul point (nucléation) selon un critère de « maximisation » du périmètre, ce qui donne fomallement une version du mouvement en arrière par courbure cristalline. Cette évolution dépend de lʼapproximation choisie.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.10.008

Andrea Braides 1; Giovanni Scilla 2

1 Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, via della Ricerca Scientifica 1, 00133 Roma, Italy
2 Dipartimento di Matematica ‘G. Castelnuovo’, ‘Sapienza’ Università di Roma, piazzale Aldo Moro 5, 00185 Roma, Italy 
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Andrea Braides; Giovanni Scilla. Nucleation and backward motion of discrete interfaces. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 803-806. doi : 10.1016/j.crma.2013.10.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.008/

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