Double‐porosity homogenization for perimeter functionals
Copyright policy )Double‐porosity homogenization for perimeter functionals
AbstractIn this paper we are concerned with the overall description of interfacial energies in a composite environment where the local properties of the media are characterized by a large variation of the values of surface tension (double‐porosity homogenization).We prove some asymptotic results in terms of Γ‐convergence for a sequence of functionals modelling these energies. We show the connection of the Γ‐limit with the geometry of the periodic ‘holes’ of the perforated domain, in particular investigating the relation with the Cheeger constant and the Cheeger set of a convex subset of ℝn.
- University of Sassari Italy
perforrated domains, Methods involving semicontinuity and convergence; relaxation, Minimal surfaces and optimization, Homogenization in equilibrium problems of solid mechanics, \(\Gamma\) convergence, perimeter functional, Cheeger sets, Homogenization in context of PDEs; PDEs in media with periodic structure
perforrated domains, Methods involving semicontinuity and convergence; relaxation, Minimal surfaces and optimization, Homogenization in equilibrium problems of solid mechanics, \(\Gamma\) convergence, perimeter functional, Cheeger sets, Homogenization in context of PDEs; PDEs in media with periodic structure
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