The Stokes problem in a periodic layer |
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Authors: | Sergey A. Nazarov Gudrun Thäter |
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Affiliation: | 1. Institute of Mechanical Engineering Problems, V. O. Bol'sho? pr. 61, St. Petersburg, 199178, Russia, Phone: +7 812 3214778, Fax: +7 812 3214771;2. Institut für Angewandte und Numerische Mathematik IV, Fakult?t für Mathematik, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany |
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Abstract: | We construct and justify the asymptotic representation at infinity of solutions to the Stokes problem in a three‐dimensional domain with periodic geometric structure, which is bounded in one dimension, e.g., a periodically perforated layer. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim |
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Keywords: | Asymptotic representation homogenisation periodic layer MSC (2010) Primary: 35B27 35Q30 76D07 Secondary: 76M50 |
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