A homogenization result in the gradient theory of phase transitions
Analysis of PDEs
2020-05-28 v3
Abstract
A variational model in the context of the gradient theory for fluid-fluid phase transitions with small scale heterogeneities is studied. In particular, the case where the scale of the small homogeneities is of the same order of the scale governing the phase transition is considered. The interaction between homogenization and the phase transitions process will lead, in the limit as , to an anisotropic interfacial energy.
Keywords
Cite
@article{arxiv.1808.01972,
title = {A homogenization result in the gradient theory of phase transitions},
author = {Riccardo Cristoferi and Irene Fonseca and Adrian Hagerty and Cristina Popovici},
journal= {arXiv preprint arXiv:1808.01972},
year = {2020}
}