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arXiv · 1610.05502

Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes

Hermann Douanla·Erick Tetsadjio
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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.

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Hermann Douanla, Erick Tetsadjio. 2016-10-18. Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes. https://arxiv.org/abs/1610.05502

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