2 papers
math.AP2025
Fractional multi-phase transitions and nonlocal minimal partitions
Thomas Gabard, Vincent Millot
This article is devoted to the study of certain models for phase transitions involving nonlocal energies. A first part is concerned with to the asymptotic analysis of a system of f…
math.AP2025
Gamma-convergence of nonlocal energies for partitions
Thomas Gabard, Vincent Millot
We prove that certain nonlocal functionals defined on partitions made of measurable sets Gamma-converge to a local functional modeled on the perimeter in the sense of De Giorgi. Th…