Homogenization of periodic nonconvex integral functionals in terms of Young measures

Omar Anza Hafsa; Jean-Philippe Mandallena; Gérard Michaille

ESAIM: Control, Optimisation and Calculus of Variations (2005)

  • Volume: 12, Issue: 1, page 35-51
  • ISSN: 1292-8119

Abstract

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Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the Γ-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.

How to cite

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Hafsa, Omar Anza, Mandallena, Jean-Philippe, and Michaille, Gérard. "Homogenization of periodic nonconvex integral functionals in terms of Young measures." ESAIM: Control, Optimisation and Calculus of Variations 12.1 (2005): 35-51. <http://eudml.org/doc/90789>.

@article{Hafsa2005,
abstract = { Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the Γ-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one. },
author = {Hafsa, Omar Anza, Mandallena, Jean-Philippe, Michaille, Gérard},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Young measures; homogenization.; homogenization},
language = {eng},
month = {12},
number = {1},
pages = {35-51},
publisher = {EDP Sciences},
title = {Homogenization of periodic nonconvex integral functionals in terms of Young measures},
url = {http://eudml.org/doc/90789},
volume = {12},
year = {2005},
}

TY - JOUR
AU - Hafsa, Omar Anza
AU - Mandallena, Jean-Philippe
AU - Michaille, Gérard
TI - Homogenization of periodic nonconvex integral functionals in terms of Young measures
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2005/12//
PB - EDP Sciences
VL - 12
IS - 1
SP - 35
EP - 51
AB - Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the Γ-limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.
LA - eng
KW - Young measures; homogenization.; homogenization
UR - http://eudml.org/doc/90789
ER -

References

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