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math.AP2024
Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow
Likhit Ganedi, Alice Marveggio, Kerrek Stinson
We consider a variational model for heterogeneous phase separation, based on a diffuse interface energy with moving wells. Our main result identifies the asymptotic behavior of the…
math.AP2022
Homogenization and phase separation with space dependent wells -- The subcritical case
Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi
A variational model for the interaction between homogenization and phase separation is considered. The focus is on the regime where the latter happens at a smaller scale than the f…