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Homogenization of a locally periodic time-dependent domain

Fotouhi, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.3934/cpaa.2020061
  3. Publisher: American Institute of Mathematical Sciences , 2020
  4. Abstract:
  5. We consider the homogenization of a Robin boundary value problem in a locally periodic perforated domain which is also time-dependent. We aim at justifying the homogenization limit, that we derive through asymptotic expansion technique. More exactly, we obtain the so-called corrector homogenization estimate that specifies the convergence rate. The major challenge is that the media is not cylindrical and changes over time. We also show the existence and uniqueness of solutions of the microscopic problem. © 2020 American Institute of Mathematical Sciences. All rights reserved
  6. Keywords:
  7. Corrector estimates ; Homogenization limit ; Locally periodic microstructure ; Time-dependent domain
  8. Source: Communications on Pure and Applied Analysis ; Volume 19, Issue 3 , 2020 , Pages 1669-1695
  9. URL: https://www.aimsciences.org/article/doi/10.3934/cpaa.2020061