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

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

• Hyperbolic-parabolic equation
• perforated domain
• tiny holes
• multi-scale convergence