-Convergence and Stochastic Homogenization of Second-Order Singular Perturbation Models for Phase Transitions
AF Donnarumma - Journal of Nonlinear Science, 2025 - Springer
We study the effective behavior of random, heterogeneous, anisotropic, second-order phase
transitions energies that arise in the study of pattern formations in physical–chemical …
transitions energies that arise in the study of pattern formations in physical–chemical …
A note on spatially inhomogeneous Cahn-Hilliard energies
S Wojtowytsch - arXiv preprint arXiv:2408.02154, 2024 - arxiv.org
In 2023, Cristoferi, Fonseca and Ganedi proved that Cahn-Hilliard type energies with
spatially inhomogeneous potentials converge to the usual (isotropic and homogeneous) …
spatially inhomogeneous potentials converge to the usual (isotropic and homogeneous) …
Diffuse Interface Energies with Microscopic Heterogeneities: Homogenization and Rare Events
PS Morfe, C Wagner - arXiv preprint arXiv:2408.14914, 2024 - arxiv.org
We analyze Allen-Cahn functionals with stationary ergodic coefficients in the regime where
the length scale $\delta $ of the heterogeneities is much smaller (microscopic) than the …
the length scale $\delta $ of the heterogeneities is much smaller (microscopic) than the …