Department of Mathematics
University of Yaounde 1, P.O. Box 812
Yaounde, Cameroon
email: hdouanla@gmail.com
Department of Mathematics
University of Yaounde 1, P.O. Box 812
Yaounde, Cameroon
email: tetsadjio@gmail.com
Hermann Douanla, Erick Tetsadjio
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.
Submitted October 26, 2016. Published February 27, 2017.
Math Subject Classifications: 35B27, 76M50, 35L20.
Key Words: Hyperbolic-parabolic equation; perforated domain; tiny holes;
multi-scale convergence.
Show me the PDF file (310 KB), TEX file for this article.
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Hermann Douanla Department of Mathematics University of Yaounde 1, P.O. Box 812 Yaounde, Cameroon email: hdouanla@gmail.com |
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Erick Tetsadjio Department of Mathematics University of Yaounde 1, P.O. Box 812 Yaounde, Cameroon email: tetsadjio@gmail.com |
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