title: Cahn-Hilliard equations incorporating elasticity: analysis and comparison to experiments.
abstract: We consider a generalization of the Cahn-Hilliard equation that incorporates an elastic energy density which, being quasi-convex, incorporates micro-structure formation on smaller length scales. We explore the global existence of weak solutions in two and three dimensions. We compare theoretical predictions with experimental observations of coarsening in superalloys.
authors.affiliation: Bingen University of Applied Sciences, , Berlinstraße 109, 55411 Bingen, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Blesgen
authors.forename: Isaac Vikram
authors.initials: IV
authors.lastname: Chenchiah
keywords: Cahn–Hilliard equation; coarsening; quasi-convex elastic energy density; superalloys