Speaker
Caterina Ida Zeppieri
(Universität Münster)
Description
We rigorously derive a sharp-interface model for the coexistence of multiple liquid phases in a domain containing a random distribution of small droplets, within which a prescribed phase is enforced. Starting from a diffuse-interface model of Modica–Mortola type, we prove that, under very general assumptions on the droplet distribution (modelled probabilistically by a stationary marked point process) and at a critical scaling for the droplet radii, an additional stochastic bulk term of capacitary type emerges in the limit functional.
Author
Caterina Ida Zeppieri
(Universität Münster)