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