Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes
Analysis of PDEs
2017-03-09 v2
Abstract
This article studies the homogenization of hyperbolic-parabolic equations in porous media with tiny holes. We assume that the holes are periodically distributed and that the coefficients of the equations are periodic. Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of the same type as the problem with oscillating coefficients.
Keywords
Cite
@article{arxiv.1610.05502,
title = {Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes},
author = {Hermann Douanla and Erick Tetsadjio},
journal= {arXiv preprint arXiv:1610.05502},
year = {2017}
}