Back to Search
Start Over
Homogenization of periodic nonconvex integral functionnals in terms of young measures
- Source :
- ESAIM: Control, Optimisation and Calculus of Variations, ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2006, 12, pp.35-51. ⟨10.1051/cocv:2005031⟩
- Publication Year :
- 2006
- Publisher :
- HAL CCSD, 2006.
-
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.
- Subjects :
- 2606 Control and Optimization
Control and Optimization
010102 general mathematics
Mathematical analysis
homogenization
2207 Control and Systems Engineering
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
16. Peace & justice
01 natural sciences
Homogenization (chemistry)
010101 applied mathematics
10123 Institute of Mathematics
Computational Mathematics
510 Mathematics
Control and Systems Engineering
Young measures
0101 mathematics
2605 Computational Mathematics
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 12928119 and 12623377
- Database :
- OpenAIRE
- Journal :
- ESAIM: Control, Optimisation and Calculus of Variations, ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2006, 12, pp.35-51. ⟨10.1051/cocv:2005031⟩
- Accession number :
- edsair.doi.dedup.....f681fe74d732d71da7e297ee91c40cee
- Full Text :
- https://doi.org/10.1051/cocv:2005031⟩