Massimo Lanza de Cristoforis (University of Padova)

A FUNCTIONAL ANALYTIC APPROACH TO  HOMOGENIZATION PROBLEMS

Abstract:

This talk is devoted to the  homogenization of boundary value
problems in a periodically perforated domain by an approach which is
alternative to those  of asymptotic analysis and of classical
homogenization theory.

The domain has a periodic structure, and the size of each cell is
determined by a positive parameter d. The size of each periodic
perforation is instead determined by a positive parameter r.

We analyze the behavior of a family of solutions of a boundary value
problem defined  in the periodically perforated domain   as  d  and r
degenerate to zero.

Joint work with
Paolo Musolino, Dipartimento di Matematica, Universit\`{a} degli Studi
di Padova, 352121 Italy