Homogenization of oscillating boundaries and applications to thin films
Functional Analysis
2007-05-23 v1
Abstract
We prove a homogenization result for integral functionals in domains with oscillating boundaries, showing that the limit is defined on a degenerate Sobolev space. We apply this result to the description of the asymptotic behaviour of thin films with fast-oscillating profile, proving that they can be described by first applying the homogenization result above and subsequently a dimension-reduction technique.
Keywords
Cite
@article{arxiv.math/0010011,
title = {Homogenization of oscillating boundaries and applications to thin films},
author = {Nadia Ansini and Andrea Braides},
journal= {arXiv preprint arXiv:math/0010011},
year = {2007}
}
Comments
31 pages, 7 figures