穿孔区域中双曲-抛物方程均匀化问题的一个注记

A Note on Homogenization of the Hyperbolic-Parabolic Equations in Domains with Holes

中文关键词:  双曲-抛物方程  穿孔区域  均匀化  周期unfolding方法

英文关键词:hyperbolic-parabolic equations  perforated domains  homogenization  periodic unfolding method

中文摘要:

      本文研究了周期穿孔区域中的一类带齐次Neumann边界条件的双曲-抛物问题.利用穿孔区域的周期unfolding方法,得到了该问题的均匀化结果,推广了Bensoussan-Lions-Papanicolau和Migorski的工作.

英文摘要:

      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.