Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes
Date
2017-02-27
Authors
Douanla, Hermann
Tetsadjio, Erick
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Hyperbolic-parabolic equation, Perforated domains, Tiny holes, Multi-scale convergence
Citation
Douanla, H., & Tetsadjio, E. (2017). Reiterated homogenization of hyperbolic-parabolic equations in domains with tiny holes. <i>Electronic Journal of Differential Equations, 2017</i>(59), pp. 1-22.
Rights
Attribution 4.0 International