Calculus of Variations and Geometric Measure Theory
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A. Braides - L. Kreutz

Optimal design of mixtures of ferromagnetic interactions

created by braidesa on 20 Oct 2016



Inserted: 20 oct 2016
Last Updated: 20 oct 2016

Year: 2016


We provide a general framework for the optimal design of surface energies on networks. We prove sharp bounds for the homogenization of discrete systems describing mixtures of ferromagnetic interactions by constructing optimal microgeometries, and we prove a localization principle which allows to reduce to the periodic setting in the general nonperiodic case.


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