English

Two-scale analysis of a non standard transmission problem in two-component media

Analysis of PDEs 2020-03-12 v2

Abstract

In this short paper, periodic homogenization of a steady heat flow in two-component media with highly adhesive contact is performed via the two-scale convergence technique. Our micro-model is based on mass conservation for the heat flow in each phase with interfacial contact of adhesive type between these constituents. It is shown that the macroscopic model is a single phase elliptic equation.

Keywords

Cite

@article{arxiv.1508.03369,
  title  = {Two-scale analysis of a non standard transmission problem in two-component media},
  author = {A. Ainouz},
  journal= {arXiv preprint arXiv:1508.03369},
  year   = {2020}
}

Comments

4 pages. Two-column type document. Some texts have been removed and have been replaced by up-to-date ones. To be submitted