A NONSTANDARD PHASE FIELD SYSTEM OF CAHN-HILLIARD TYPE FOR DIFFUSIVE PHASE SEGREGATION

In this talk, we analyze a new type of highly nonlinearly coupled phase field equations that was recently introduced by P. Podio-Guidugli as a model for diffusive phase segregation on an atomic lattice. The unknowns in this system of PDEs are an order parameter and the chemical potential. We derive results concerning well-posedness, asymptotic behavior and optimal control. This is joint work with P. Colli, G. Gilardi and P. Podio-Guidugli.