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

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  • Marco Cicalese

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https://doi.org/10.1685/

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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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2007-10-01

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##issue.vol## 1 (2006)

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Articles

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