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The periodic unfolding method for the heat equation in perforated domains

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Abstract

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).

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Authors and Affiliations

  1. Laboratoire de Mathématiques Raphaël Salem, Normandie Université, Université de Rouen, Saint Etienne de Rouvray, 76801, France

    Patrizia Donato

  2. Department of Mathematics, South-Central University for Nationalities, Wuhan, 430074, China

    ZhanYing Yang

Authors
  1. Patrizia Donato
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  2. ZhanYing Yang
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Correspondence to ZhanYing Yang.

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Donato, P., Yang, Z. The periodic unfolding method for the heat equation in perforated domains. Sci. China Math. 59, 891–906 (2016). https://doi.org/10.1007/s11425-015-5103-4

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  • DOI: https://doi.org/10.1007/s11425-015-5103-4

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