ERC Consolidator Grant · 2025
Fine Structure and Regularity of Moving and Stationary Free Interfaces
Free boundaries and interfaces arise in problems in PDEs and Calculus of Variations, in which both the solutions and their domains are free to evolve in time. Several physical models and phenomena naturally lead to the formation of free boundaries and interfaces, for instance, phase-transition (the Stefan problems), periodic water waves (Stokes water waves), jet flows (the Bernoulli problems), tumor growth and congested crowd motion (Hele-Shaw flows), strong segregation (optimal partitions; harmonic maps). This project is dedicated to the analysis of the free interfaces from a purely theoretical point of view. The focus is on the Regularity Theory: starting from some very weak notion of…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.