CORDIS Project
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This project focuses on the theoretical analysis of free boundaries and interfaces in various physical models, such as phase transitions and tumor growth. It aims to describe the local structure and evolution of these interfaces, particularly around singularities, using advanced analytical methods.
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; harm…
UNIVERSITA DI PISA
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