Multiscale Analysis of Composite Structures

Abstract

The goal of this paper is to present some homogenization results for diffusion problems in composite structures, formed by two media with different features. Our setting is relevant for modeling heat diffusion in composite materials with imperfect interfaces or electrical conduction in biological tissues. The approach we follow is based on the periodic unfolding method, which allows us to deal with general media.

Keywords

• homogenization
• the periodic unfolding method
• dynamical boundary condition.