2020 Atlanta USA

Phase field models and applications

 Organizer(s):
Name:
Affiliation:
Country:
Gunduz Caginalp
University of Pittsburgh
USA
Maurizio Grasselli
Politecnico di Milano
Italy
Alain Miranville
University of Poitiers
France
 Abstract:  
  Many important phenomena are characterized by the presence of interfaces that separate, for example, different chemical species. Significant examples are the behavior of multi-phase fluids, tumor growth dynamics, reconstruction of deteriorated images (in painting) or self-assembly processes in diblock copolymers. A very effective approach to deal with these interfaces consists in formulating suitable phase field or diffuse interface problems whose paradigmatic equations are of Allen-Cahn or Cahn-Hilliard type, possibly coupled with other equations like, e.g., the Navier-Stokes system. This area has been very active for the past few decades both from the theoretical and the numerical viewpoint. The present session intends to focus on the recent progresses made in both issues.