%0 Journal Article %1 citeulike:13577537 %A Cioranescu, Doina %A Hammouda, A. Ould %D 2008 %J Rev. Roumaine Math. Pures Appl. %K 74q05-homogenization-in-equilibrium-problems 35b27-homogenization-equations-in-media-with-periodic-structure 49j45-methods-involving-semicontinuity-and-convergence-relaxation %N 5--6 %P 389--406 %T Homogenization Elliptic Problems in Perforated Domains with Mixed Boundary Conditions %V 53 %X We consider a class of second order elliptic problems on perforated domains with small holes of size \$\epsilon\delta\$, distributed periodically with the period \$\epsilon\$. A non homogeneous Neumann condition is prescribed on the boundary of some holes; on ehte bother of the other ones, it is a homogeneous Dirichlet condition that is considered. We are interested here to give the limit behaviour of the problems when \$\epsilon0\$ and \$= \$(\epsilon) 0\$. To do so, we apply the periodic unfolding method introduced in 5, that allows us to consider general operators with highly oscillating (with \$\epsilon\$) coefficients and rather general geometries.

@article{citeulike:13577537, abstract = {{We consider a class of second order elliptic problems on perforated domains with small holes of size \$\epsilon\delta\$, distributed periodically with the period \$\epsilon\$. A non homogeneous Neumann condition is prescribed on the boundary of some holes; on ehte bother of the other ones, it is a homogeneous Dirichlet condition that is considered. We are interested here to give the limit behaviour of the problems when \$\epsilon\rightarrow 0\$ and \$\delta = \$\delta (\epsilon) \rightarrow 0\$. To do so, we apply the periodic unfolding method introduced in [5], that allows us to consider general operators with highly oscillating (with \$\epsilon\$) coefficients and rather general geometries.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Cioranescu, Doina and Hammouda, A. Ould}, biburl = {https://www.bibsonomy.org/bibtex/27539c366dba78a5f07b8b287266d480c/gdmcbain}, citeulike-article-id = {13577537}, citeulike-attachment-1 = {cioranescu_08_homogenization.pdf; /pdf/user/gdmcbain/article/13577537/1012829/cioranescu_08_homogenization.pdf; 9b3e551a16e2f5b288fd8fe122ca22533256a6ea}, file = {cioranescu_08_homogenization.pdf}, interhash = {6c60f5fa8fad0d506c06d166c7cd8bbf}, intrahash = {7539c366dba78a5f07b8b287266d480c}, journal = {Rev. Roumaine Math. Pures Appl.}, keywords = {74q05-homogenization-in-equilibrium-problems 35b27-homogenization-equations-in-media-with-periodic-structure 49j45-methods-involving-semicontinuity-and-convergence-relaxation}, number = {5--6}, pages = {389--406}, posted-at = {2015-04-09 06:50:20}, priority = {2}, timestamp = {2021-10-14T06:39:29.000+0200}, title = {{Homogenization Elliptic Problems in Perforated Domains with Mixed Boundary Conditions}}, volume = 53, year = 2008 }