Young measures generated by a class of integrands: A narrow epicontinuity and applications to homogenization.

DOI10.1016/S0021-7824(02)01276-XzbMath1038.49024MaRDI QIDQ1406933

Gérard Michaille, Michel Valadier

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

integral functionalsYoung measuresstochastic homogenizationperiodic homogenization\(\Gamma\)-convergenceGamma-convergence

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Methods involving semicontinuity and convergence; relaxation (49J45) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Continuity theorem for non-local functionals indexed by Young measures and stochastic homogenization

Cites Work

• Representation of additive functionals on vector-valued normed Köthe spaces
• Ergodic theory and application to nonconvex homogenization
• An introduction to \(\Gamma\)-convergence
• Memory effects and homogenization
• A-Quasiconvexity: Relaxation and Homogenization
• Homogénéisation de problèmes elliptiques dégénérés
• Memory effect phenomena and Г-convergence
• $\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
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