Boundary Layer Energies in Discrete Systems: an Approach via Γ-convergence

Autori

  • Marco Cicalese

DOI:

https://doi.org/10.1685/

Abstract

Object of this talk is the variational description by M20_Cicalese1.pngconvergence of the boundary layer phenomenon arising in pair-interaction lattice systems in a bounded set M20_Cicalese2.png. We present several examples in phase transitions, fracture mechanics, dimension reduction and spin systems physics in which it is possible to show that, properly scaling the stored energy, a non vanishing contribution due to the behaviour of the system at the boundary of M20_Cicalese2.png appears. [DOI: 10.1685 / CSC06045] About DOI

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Pubblicato

2007-10-01

Fascicolo

V. 1 (2006)

Sezione

Articles

Licenza

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