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Journal of Applied Mathematics
Volume 2014, Article ID 101685, 16 pages
Research Article

Homogenization of Parabolic Equations with an Arbitrary Number of Scales in Both Space and Time

Department of Quality Technology and Management, Mechanical Engineering and Mathematics, Mid Sweden University, S-83125 Östersund, Sweden

Received 5 September 2013; Revised 18 December 2013; Accepted 23 December 2013; Published 24 February 2014

Academic Editor: Carlos Conca

Copyright © 2014 Liselott Flodén et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • L. Flodén, A. Holmbom, P. Jonasson, T. Lobkova, M. Olsson Lindberg, and Y. Zhang, “A discussion of a homogenization procedure for a degenerate linear hyperbolic-parabolic problem,” vol. 1798, pp. 020177, . View at Publisher · View at Google Scholar
  • Liselott Flodén, and Jens Persson, “Homogenization of nonlinear dissipative hyperbolic problems exhibiting arbitrarily many spatial and temporal scales,” Networks and Heterogeneous Media, vol. 11, no. 4, pp. 627–653, 2016. View at Publisher · View at Google Scholar
  • Tatiana Lobkova, and Pernilla Johnsen, “Homogenization of a Linear Parabolic Problem with a Certain Type of Matching Between the Microscopic Scales,” Applications of Mathematics, vol. 63, no. 5, pp. 503–521, 2018. View at Publisher · View at Google Scholar
  • Tatiana Lobkova, “Homogenization of Linear Parabolic Equations with a Certain Resonant Matching Between Rapid Spatial and Temporal Oscillations in Periodically Perforated Domains,” Acta Mathematicae Applicatae Sinica, English Series, vol. 35, no. 2, pp. 340–358, 2019. View at Publisher · View at Google Scholar