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On the determination of effective properties of certain structures with non-periodic temporal oscillations
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.ORCID iD: 0000-0001-6742-5781
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.ORCID iD: 0000-0003-2942-6841
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.ORCID iD: 0000-0001-9984-2424
2009 (English)In: MATHMOD 2009 - 6th Vienna International Conference on Mathematical Modelling, Wien: Vienna University Press (WUV), 2009, p. 2627-2630Conference paper, Published paper (Refereed)
Abstract [en]

We investigate the homogenization of an evolution problem modelled by a parabolic equation, where the coefficient describing the structure is periodic in space but may vary in time in a non-periodic way. This is performed applying a generalization of two-scale convergence called λ-scale convergence. We give a result on the characterization of the λ-scale limit of gradients under certain boundedness assumptions. This is then applied to perform the homogenization procedure. It turns out that, under a certain condition on the rate of change of the temporal variations, the effective property of the given structure can be determined the same way as in periodic cases.

Place, publisher, year, edition, pages
Wien: Vienna University Press (WUV), 2009. p. 2627-2630
Series
Argesim Report ; 35
Keywords [en]
homogenization, parabolic equation, λ-scale convergence, non-periodic, temporal oscillations
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:miun:diva-8750ISBN: 978-3-901608-35-3 (print)OAI: oai:DiVA.org:miun-8750DiVA, id: diva2:209568
Available from: 2009-03-25 Created: 2009-03-25 Last updated: 2016-12-12Bibliographically approved

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Flodén, LiselottHolmbom, AndersOlsson, MariannePersson, Jens

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CiteExportLink to record
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Citation style
  • apa
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  • fi-FI
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