2023 Wilmington NC USA

Phase field models and real world applications

 Organizer(s):
Name:
Affiliation:
Country:
Andrea Giorgini
Politecnico di Milano
Italy
Maurizio Grasselli
Politecnico di Milano
Italy
Alain Miranville
University of Poitiers
France
 Abstract:  
  - In memoriam Gunduz Caginalp who taught us the importance of phase field models - 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, intracellular phase separation, tumor growth dynamics, reconstruction of deteriorated images (inpainting) or self-assembly processes in diblock copolymers. A very effective approach to deal with these real world interface problems 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 in the last few decades both from the theoretical and the numerical viewpoint. The present session intends to focus on the recent progresses made in both issues and give the opportunity to both experts in the field and young research scholars to share their ultimate techniques, novel viewpoints and future goals.

List of approved abstract