4 papers
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…
Vector Field Models for Nematic Disclinations
Amit Acharya, Irene Fonseca, Likhit Ganedi +1
In this paper, a model for defects that was introduced in \cite{ZANV} is studied. In the literature, the setting of most models for defects is the function space SBV (special bound…
Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case
Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi
A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a finer scale than the latter. The first…
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…