Titre :

New counterexamples to the cell formula in nonconvex homogenization

Auteur(s) :

Barchiesi, Marco [Auteur]
Carnegie Mellon University [Pittsburgh] [CMU]
Gloria, Antoine [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Département de Mathématique [Bruxelles] [ULB]

Titre de la revue :

Archive for Rational Mechanics and Analysis

Pagination :

991-1204

Éditeur :

Springer Verlag

Date de publication :

2010-03

ISSN :

0003-9527

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Informatique [cs]/Bibliothèque électronique [cs.DL]

Résumé en anglais : [en]

In this article we show that for the homogenization of multiple integrals, the quasiconvexification of the cell formula is different from the asymptotic formula in general. To this aim, we construct three examples in three ...
Lire la suite >In this article we show that for the homogenization of multiple integrals, the quasiconvexification of the cell formula is different from the asymptotic formula in general. To this aim, we construct three examples in three different settings: the homogenization of a discrete model, the homogenization of a composite material and the homogenization of a homogeneous material on a perforated domain.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL