A Note on Homogenization of the Hyperbolic-Parabolic Equations in Domains with Holes
Received:July 18, 2015  Revised:October 12, 2015
Key Words: hyperbolic-parabolic equations   perforated domains   homogenization   periodic unfolding method  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11401595).
Author NameAffiliation
Zhanying YANG School of Mathematics and Statistics, South-Central University for Nationalities, Hubei 430074, P. R. China 
Xianhe ZHAO College of Mathematics and Information Science, Henan Normal University, Henan 453007, P. R. China 
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      In this paper, we study a class of hyperbolic-parabolic problems in periodically perforated domains with a homogeneous Neumann condition on the boundary of holes. We focus on the homogenization of these equations, which generalizes those achieved by Bensoussan-Lions-Papanicolau and Migorski. The proof is based on the periodic unfolding method in perforated domains.
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