Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces:the Unfolding Approach  

作　　者：Doina CIORANESCU Alain DAMLAMIAN Tatsien LI 

机构地区：[1]Laboratoire Jacques-Louis Lions(UMR 7598 du CNRS),Universit Pierre et Marie Curie,4 Place Jussieu,75005 Paris,France [2]Universit Paris-Est,Laboratoire d'Analyse et de Math'ematiques Appliques,CNRS UMR 8050 Centre Multidisciplinaire de Crteil,94010 Crteil,Cedex,France [3]Nonlinear Mathematical Modeling and Methods Laboratory [4]Shanghai Key Laboratory for Contemporary Applied Mathematics [5]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Chinese Annals of Mathematics,Series B》2013年第2期213-236,共24页数学年刊（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 11121101);the National Basic Research Program of China (No. 2013CB834100)

摘　　要：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 3dimensional 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.

关 键 词：Periodic homogenization Elastic torsion Equi-valued surfaces Resistivitywell-logging Periodic unfolding method 

分 类 号：TB12[理学—工程力学]