Discrete double-porosity models
Functional Analysis
2014-06-09 v1
Abstract
We study a discrete-to-continuous Gamma-limit of a family of high-contrast double porosity type functionals defined on a scaled integer lattice. Under periodicity and p-growth conditions we prove the homogenization result and describe the structure of the limit functional. Also, we study the convergence of the corresponding gradient flow.
Cite
@article{arxiv.1406.1752,
title = {Discrete double-porosity models},
author = {Andrea Braides and Valeria Chiado Piat and Andrey Piatnitski},
journal= {arXiv preprint arXiv:1406.1752},
year = {2014}
}