Organizer(s):

Name:

Affiliation:

Country:

Andrea Signori

Politecnico di Milano

Italy

Lara Trussardi

Institute of Mathematics and Scientific Computing, University of Graz

Austria

Luca Scarpa

Politecnico di Milano

Italy

 Introduction:  

Phase-separation phenomena are experienced in numerous scenarios, such as dynamics of fluid mixtures, pattern formation, image processing, evolution of biomolecular condensates, and tumour growth dynamics. A well-established mathematical analysis of such mechanisms is based on the so-called diffuse-interface approach, and relies on classical models such as the Cahn-Hilliard and Allen-Cahn equations. In the last decades, suitable nonlocal formulations of phase-field systems have specifically allowed to describe long-range interaction effects and have received great attention in the mathematical community. The present session brings forward recent results on nonlocal phase-field models, including qualitative properties of solutions and nonlocal-to-local asymptotic convergence. All Abstracts