Modelling phase transitions via Young measures

Steffen Arnrich
2011 Discrete and Continuous Dynamical Systems. Series S  
We consider the elastic theory of single crystals at constant temperature where the free energy density depends on the local concentration of one or more species of particles in such a way that for a given local concentration vector 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
more » ... olutions that relies on a new existence theorem for Young measures in infinite settings. This article is an overview of [2] .
doi:10.3934/dcdss.2012.5.29 fatcat:36goxw6lazbnvjfnhw5bnb537i