FAA : A Functional Analytic Approach for the analysis of composite and porous materials - Paolo Musolino (EU/WG)

The new Functional Analytic Approach (FAA) was recently developed by Dr M. Dalla Riva, Prof. M. Lanza de Cristoforis and the proposer of this project, Dr P. Musolino, to tackle problems in bounded domains with small holes or inclusions. Problems of this kind widely appear in applications and are usually investigated with the traditional techniques of Asymptotic Analysis (AA). The FAA is very different and in a sense even complementary to AA as it allows answering questions extremely difficult within the latter approach. The FAA has already proved its efficiency allowing to obtain innovative results on the asymptotic behaviour of solutions to nonlinear BVPs in bounded domains.