Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach

Making use of the periodic unfolding method, the authors give an elementary proof for the periodic homogenization of the elastic torsion problem of an infinite — dimensional rod with a multiply-connected cross section as well as for the general electroconductivity problem in the presence of many per...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2013-03, Vol.34 (2), p.213-236
Main Authors: Cioranescu, Doina, Damlamian, Alain, Li, Tatsien
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Summary:Making use of the periodic unfolding method, the authors give an elementary proof for the periodic homogenization of the elastic torsion problem of an infinite — dimensional rod with a multiply-connected cross section as well as for the general electroconductivity problem in the presence of many perfect conductors (arising in resistivity well-logging). Both problems fall into the general setting of equi-valued surfaces with corresponding assigned total fluxes. The unfolding method also gives a general corrector result for these problems.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-013-0765-0