@Article{CMAA-4-347,
author = {Amar , MicolAndreucci , Daniele and Timofte , Claudia},
title = {Homogenization of an Elliptic System Involving Non-Local and Equi-Valued Interface Conditions},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {3},
pages = {347--367},
abstract = {<p style="text-align: justify;">In this paper, we analyze the effective behaviour of the solution of
an elliptic problem in a two-phase composite material with non-standard imperfect contact conditions between its constituents. More specifically, we consider on the interface an equi-valued surface condition and a non-local flux
condition involving a scaling parameter $α.$ We perform a homogenization procedure by using the periodic unfolding technique. As a result, we obtain two
different effective models, depending on the scaling parameter $α.$ More precisely, in the case $α &gt; −1,$ we are led to a standard Dirichlet problem for an
elliptic equation, while in the case $α = −1,$ we get a bidomain system, consisting in the coupling of an elliptic equation with an algebraic one.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2025-0009},
url = {http://global-sci.org/intro/article_detail/cmaa/24333.html}
}