The periodic unfolding method for a class of imperfect transmission problems

被引：0

作者：

Donato P. ^{[1
]}

Le Nguyen K.H. ^{[1
,2
]}

Tardieu R. ^{[1
]}

机构：

[1] Université de Rouen, Laboratoire de Mathématiques Raphaël Salem CNRS UMR, 76801 St Etienne du Rouvray, 6085, Avenue de l'Université

[2] Faculty of Sciences, Nong Lam University, Ho Chi Minh city, Linh Trung ward, Thu Duc district

来源：

Journal of Mathematical Sciences | 2011年 / 176卷 / 6期

关键词：

Corrector Result; Bounded Sequence; Extension Operator; Limit Problem; Imperfect Interface;

D O I：

10.1007/s10958-011-0443-2

中图分类号：

学科分类号：

摘要：

The periodic unfolding method was introduced by D. Cioranescu, A. Damlamian and G. Griso for studying the classical periodic homogenization in fixed domains and more recently extended to periodically perforated domains by D. Cioranescu, A. Damlamian, P. Donato, G. Griso, and R. Zaki. Here, the method is adapted to two-component domains which are separated by a periodic interface. The unfolding method is then applied to an elliptic problem with a jump of the solution on the interface, which is proportional to the flux and depends on a real parameter. We prove some homogenization and corrector results, which recover and complete those previously obtained by the first author and S. Monsurrò. Bibliography: 32 titles. Illustrations: 2 figures. © 2011 Springer Science+Business Media, Inc.

引用

页码：891 / 927

页数：36

共 50 条

[1] THE PERIODIC UNFOLDING METHOD FOR A CLASS OF PARABOLIC PROBLEMS WITH IMPERFECT INTERFACES
Yang, Zhanying
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2014, 48 (05): : 1279 - 1302
[2] HOMOGENIZATION AND CORRECTORS FOR THE HYPERBOLIC PROBLEMS WITH IMPERFECT INTERFACES VIA THE PERIODIC UNFOLDING METHOD
Yang, Zhanying
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (01) : 249 - 272
[3] Corrector estimates for a class of imperfect transmission problems
Reichelt, Sina
[J]. ASYMPTOTIC ANALYSIS, 2017, 105 (1-2) : 3 - 26
[4] Microstructure models for composites with imperfect interface via the periodic unfolding method
Ene, Horia
Timofte, Claudia
[J]. ASYMPTOTIC ANALYSIS, 2014, 89 (1-2) : 111 - 122
[5] Homogenization of an elastic double-porosity medium with imperfect interface via the periodic unfolding method
Patrizia Donato
Iulian Ţenţea
[J]. Boundary Value Problems, 2013
[6] Homogenization of an elastic double-porosity medium with imperfect interface via the periodic unfolding method
Donato, Patrizia
Tentea, Iulian
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[7] THE PERIODIC UNFOLDING METHOD IN HOMOGENIZATION
Cioranescu, D.
Damlamian, A.
Griso, G.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (04) : 1585 - 1620
[8] Homogenization of optimal control problems in perforated domains via periodic unfolding method
Cabarrubias, Bituin
[J]. APPLICABLE ANALYSIS, 2016, 95 (11) : 2517 - 2534
[9] Periodic unfolding and Robin problems in perforated domains
Cioranescu, D
Donato, P
Zaki, R
[J]. COMPTES RENDUS MATHEMATIQUE, 2006, 342 (07) : 469 - 474
[10] THE PERIODIC UNFOLDING METHOD IN DOMAINS WITH HOLES
Cioranescu, D.
Damlamian, A.
Donato, P.
Griso, G.
Zaki, R.
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (02) : 718 - 760

← 1 2 3 4 5 →