Title :

New counterexamples to the cell formula in nonconvex homogenization

Author(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]

Journal title :

Archive for Rational Mechanics and Analysis

Pages :

991-1204

Publisher :

Springer Verlag

Publication date :

2010-03

ISSN :

0003-9527

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL