Homogenization of heat diffusion in a cracked medium
Analysis of PDEs
2013-05-28 v1
Abstract
We develop in this note a homogenization method to tackle the problem of a diffusion process through a cracked medium. We show that the cracked surface of the domain induces a source term in the homogenized equation. We assume that the cracks are orthogonal to the surface of the material, where an incoming heat flux is applied. The cracks are supposed to be of depth 1, of small width, and periodically arranged.
Cite
@article{arxiv.1305.6071,
title = {Homogenization of heat diffusion in a cracked medium},
author = {Xavier Blanc and Benjamin Edouard Peigney},
journal= {arXiv preprint arXiv:1305.6071},
year = {2013}
}
Comments
28 pages, 10 figures