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MiS Preprint

Homogenization of periodic multi-dimensional structures

Nadia Ansini, Andrea Braides and Valeria Chiadò Piat


We study the asymptotic behaviour of a class of oscillating integral functionals, which may depend on measures concentrated on periodic low-dimensional or multi-dimensional structures. We set the problem in the framework of Sobolev spaces with respect to periodic measures, and show that, under proper assumptions, a limit functional defined on the usual Sobolev space can be obtained using the techniques of $\Gamma$-convergence, whose energy density is described by an appropriate formula.

MSC Codes:
35B27, 73B27, 49J45

Related publications

1999 Repository Open Access
Nadia Ansini, Andrea Braides and Valeria Chiado Piat

Homogenization of periodic multi-dimensional structures

In: Bollettino della Unione Matematica Italiana / B, 2 (1999) 3, pp. 735-758