Special Session 124: Mathematical methods for heterogeneous media

The effect of almost-periodic microstructures in phase separation
Riccardo Cristoferi
Radboud University
Netherlands
Co-Author(s):    Lorenza D`Elia
Abstract:
Many of the new media needed by, and sought for, in the applications are heterogeneous materials. Being able to describe and predict stable equilibrium configurations of phases is thus fundamental in order to take full advantages of these materials. In this talk we will work within the gradient theory of phase separations, namely using a van der Waals-Cahn-Hilliard type of energy. We consider the case where the material has a microstructures that can be described by an almost-periodic function. This is intended to model quasi-crystalline materials, whose properties are in between periodic and random materials. We will discuss the effect of these types of microstructures in the sharp interface limit of the energy. This work is in collaboration with Lorenza D`Elia (TU Wien).