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The periodic unfolding method for the heat equation in perforated domains 被引量:1

The periodic unfolding method for the heat equation in perforated domains
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摘要 We study the heat equation with non-periodic coefficients in periodically perforated domains with a homogeneous Neumann condition on the holes. Using the time-dependent unfolding method, we obtain some homogenization and corrector results which generalize those by Donato and Nabil(2001). We study the heat equation with non-periodic coefficients in periodically perforated domains with a homogeneous Neumann condition on the holes. Using the time-dependent unfolding method, we obtain some homogenization and corrector results which generalize those by Donato and Nabil(2001).
出处 《Science China Mathematics》 SCIE CSCD 2016年第5期891-906,共16页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant No.11401595)
关键词 热传导方程 多孔结构 展开法 周期解 周期系数 诺伊曼 周期性 同质化 heat equations perforated domains homogenization correctors periodic unfolding method
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