| Abstract: |
| We rigorously derive, by means of $\Gamma$-convergence, a sharp-interface model for the coexistence of different liquid phases in a domain with a random distribution of droplets, in which a certain phase is prescribed. Starting from a diffuse-interface model of Modica-Mortola type, we show that under very broad assumptions on the droplet geometry (modelled probabilistically via a stationary marked point process), and at a critical scaling, a stochastic bulk term of capacitary type attributed to each other phase appears in the limit.
This is joint work with Adriana Garroni (Sapienza University of Rome) and Caterina Zeppieri (Uni-Muenster) |
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