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Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary
UiT The Arctic University of Norway, Narvik, Norway.
2017 (English)In: Differential Equations & Applications, ISSN 1847-120X, Vol. 9, no 3, p. 393-412Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to adapt the notion of two-scale convergence in Lp to the case of a measure converging to a singular one. We present a specific case when a thin cylinder with locally periodic rapidly oscillating boundary shrinks to a segment, and the corresponding measure charging the cylinder converges to a one-dimensional Lebegues measure of an interval. The method is then applied to the asymptotic analysis of linear elliptic operators with locally periodic coefficients and a p-Laplacian stated in thin cylinders with locally periodic rapidly varying thickness.

Place, publisher, year, edition, pages
2017. Vol. 9, no 3, p. 393-412
Keywords [en]
Two-scale convergence, singular measure, homogenization, thin domain with varying thickness, oscillating boundary, dimension reduction, locally periodic operators, p-Laplacian
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-27149DOI: 10.7153/dea-2017-09-28OAI: oai:DiVA.org:hig-27149DiVA, id: diva2:1223107
Available from: 2018-06-25 Created: 2018-06-25 Last updated: 2018-06-25Bibliographically approved

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Pettersson, Irina

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