The periodic unfolding method for the heat equation in perforated domains

• DOI: 10.1007/s11425-015-5103-4
• Publication Date: 2015-12-05T07:14:08Z
• Authors: Patrizia Donato; ZhanYing Yang
• Keywords: Homogenization; Heat equation

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).