Modelling phase transitions via Young measures
Steffen Arnrich · Discrete and Continuous Dynamical Systems - S · 2011
We consider the elastic theory of single crystals at constant temperaturewhere the free energy density depends on the local concentration of one ormore species of particles in such a way that for a given local concentrationvector certain lattice geometries (phases) are preferred. Furthermore we consider possible large deformations of the crystal lattice.After deriving the physical model, we indicate by means of a suitable implicite time discretization an existence result for measure-valued solutions that relies on a new existence theorem for Young measures in infinite settings. This article is an overview of [2].