# Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface

## Mercoledi' 17 Ottobre 2012 - Paolo Musolino

ARGOMENTI: Seminari

Mercoledi' 17 Ottobre 2012, alle ore 12:30 in aula 2AB40, il Dr. Paolo Musolino terra' un seminario dal titolo "Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface'' (lavoro in collaborazione con il Dr. Matteo Dalla Riva).

-Abstract
We consider the effective thermal conductivity of a two-phase composite with imperfect thermal contact at the two-phase interface. The composite is obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. The diameter of each inclusion is assumed to be proportional to a positive real parameter $epsilon$. Then we show that the function which describes the effective conductivity can be continued real analytically in the parameter $epsilon$ around the value $epsilon=0$ (in correspondence of which the inclusions collapse to points). The methods developed are based on functional analysis and potential theory and are alternative to asymptotic analysis.
Based on a joint work with M. Dalla Riva (Aveiro, Portugal).

Rif. int. M. Lanza de Cristoforis