3D-2D analysis of a thin film with periodic microstructure
Analysis of PDEs
2007-05-23 v1
Abstract
The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction through a -convergence analysis, techniques of two-scale convergence and a decoupling procedure between the oscillating variable and the in-plane variable.
Cite
@article{arxiv.math/0604566,
title = {3D-2D analysis of a thin film with periodic microstructure},
author = {Jean-Francois Babadjian and Margarida Baia},
journal= {arXiv preprint arXiv:math/0604566},
year = {2007}
}
Comments
19 pages