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| Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces: the Unfolding Approach |
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Citation： |
Doina CIORANESCU,Alain DAMLAMIAN,Tatsien LI.Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces: the Unfolding Approach[J].Chinese Annals of Mathematics B,2013,34(2):213~236 |
| Page view： 2949
Net amount： 2120 |
Authors： |
Doina CIORANESCU; Alain DAMLAMIAN; Tatsien LI; |
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| Abstract： |
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 3-dimensional rod with a multiply-connected cross section as well as for the general electro-conductivity 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. |
Keywords： |
Periodic homogenization, Elastic torsion, Equi-valued surfaces, Resistivity well-logging, Periodic unfolding method |
Classification： |
35B27, 74Q05, 74E30,74Q15, 35J25, 35Q72 |
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