Applications should include the following information: Title of the minisymposium, organizers, a short description of the content (one or two sentences), the expected number of talks, ideally including a list of speakers who have confirmed their participation.
To fit the schedule, minisymposia should be structured in slots of 30 minutes including discussion.
Title: Recent advances on evolutionary phase-transition problems
Organisers: Elisa Davoli (Wien) and Jan-Frederik Pietschmann (Chemnitz)
Abstract: The Cahn-Hilliard equation is a classical model for phase separation and by now many of its analytical aspects are well-understood. This includes the cases of degenerate mobility functions or different choices of the double-well potential. More recently, different Cahn-Hilliard models have been proposed and analyzed, also in connection with innovative applications, e.g in tumor growth modeling. An example is provided by non-local versions of the classical Cahn-Hilliard equations, introduced as gradient flows in suitable topologies of diffuse interface models for phase transitions where the classical Dirichlet energy is replaced by a convolution functional with a possibly degenerate kernel. This class of models is of particular relevance as they can be derived as a rigorous hydrodynamic limits. Further research directions are systems of (non-local) Cahn-Hilliard equations and Cahn-Hilliard-Navier-Stokes problems. The aim of this symposium is to present some recents advances and new trends in the modeling of evolutionary phase-transition problems.