A homogenization result in the gradient theory of phase transitions

Bibliographic Details
Title: A homogenization result in the gradient theory of phase transitions
Authors: Cristoferi, Riccardo, Fonseca, Irene, Hagerty, Adrian, Popovici, Cristina
Publication Year: 2018
Collection: Mathematics
Subject Terms: Mathematics - Analysis of PDEs
More Details: 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 $\varepsilon$ 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 $\varepsilon\to0$, to an anisotropic interfacial energy.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/1808.01972
Accession Number: edsarx.1808.01972
Database: arXiv
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