Homogenization and Phase Separation with Space Dependent Wells: The Subcritical Case
R Cristoferi, I Fonseca, L Ganedi - Archive for Rational Mechanics and …, 2023 - Springer
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 …
considered. The focus is on the regime where the latter happens at a smaller scale than the …
On a singular limit of the Kobayashi--Warren--Carter energy
By introducing a new topology, a representation formula of the Gamma limit of the
Kobayashi-Warren-Carter energy is given in a multi-dimensional domain. A key step is to …
Kobayashi-Warren-Carter energy is given in a multi-dimensional domain. A key step is to …
Variational homogenization: Old and new
R Ferreira, I Fonseca, R Venkatraman - 2023 - repository.kaust.edu.sa
This note is a summary of the contributions of the authors to the variational viewpoint on
homogenization. After providing a broad context, two recent projects are discussed in detail …
homogenization. After providing a broad context, two recent projects are discussed in detail …
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 …
Homogenization of the Allen–Cahn equation with periodic mobility
PS Morfe - Calculus of Variations and Partial Differential …, 2022 - Springer
We analyze the sharp interface limit for the Allen–Cahn equation with an anisotropic,
spatially periodic mobility coefficient and prove that the large-scale behavior of interfaces is …
spatially periodic mobility coefficient and prove that the large-scale behavior of interfaces is …
Anisotropic surface tensions for phase transitions in periodic media
This paper establishes bounds on the homogenized surface tension for a heterogeneous
Allen-Cahn energy functional in a periodic medium. The approach is based on relating the …
Allen-Cahn energy functional in a periodic medium. The approach is based on relating the …
Phase separation in heterogeneous media
This chapter is a review of recent results on a variational model in the context of the gradient
theory for fluid–fluid phase transitions with small-scale heterogeneities. We present a Γ …
theory for fluid–fluid phase transitions with small-scale heterogeneities. We present a Γ …
Homogenization of Interface Motions in the Parabolic Scaling
PS Morfe - 2022 - search.proquest.com
Homogenization of Interface Motions in the Parabolic Scaling Page 1 THE UNIVERSITY OF
CHICAGO HOMOGENIZATION OF INTERFACE MOTIONS IN THE PARABOLIC SCALING A …
CHICAGO HOMOGENIZATION OF INTERFACE MOTIONS IN THE PARABOLIC SCALING A …
Rita Ferreira, Irene Fonseca, and
R Venkatraman - Proc. Int. Cong. Math, 2022 - ems.press
This note is a summary of the contributions of the authors to the variational viewpoint on
homogenization. After providing a broad context, two recent projects are discussed in detail …
homogenization. After providing a broad context, two recent projects are discussed in detail …