# Effective Conductivity of a Composite Material with Non-ideal Contact Conditions

ARGOMENTI: Seminari

Il Prof. Sergei Rogosin dell'Universita' di Minsk terra' una conferenza dal titolo "Effective Conductivity of a Composite Material with Non-ideal Contact Conditions".

La conferenza si terra' il giorno 13 marzo dalle ore 17:00 alle ore 18:00 in Aula 2AB/45 della Torre Archimede.

-Abstract
The effective conductivity of $2D$ doubly periodic composite materials
with circular disjoint inclusions under non-ideal contact conditions
on the boundary between material components is found. The obtained
explicit formula for the effective conductivity contains all
parameters of the considered model such as the conductivities of
matrix and inclusions, radii and centers of the inclusions, and also
the values of special Eisenstein functions. The method of functional
equations is used to analyze the conjugation problem for analytic
functions which is equivalently derived from the initial problem.
Existence and uniqueness for the problem is obtained by using its
reduction to certain mixed boundary value problem for analytic
functions in special functional spaces.

Rif. int. M. Lanza de Cristoforis