A 3D-2D dimensional reduction analysis for supremal functionals is performed in the realm of $Gamma^*$-convergence. We show that the limit functional still admits a supremal representation, and we provide a precise identification of its density in some particular cases. Our results rely on an abstract representation theorem for the $Gamma^+$-limit of a family of supremal functionals
Dimensional reduction for supremal functionals / Jean François, Babadjian; Francesca, Prinari; Zappale, Elvira. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - volume 32, n. 5:(2012), pp. 1503-1535. [10.3934/dcds.2012.32.1503]
Dimensional reduction for supremal functionals
ZAPPALE, ELVIRA
2012
Abstract
A 3D-2D dimensional reduction analysis for supremal functionals is performed in the realm of $Gamma^*$-convergence. We show that the limit functional still admits a supremal representation, and we provide a precise identification of its density in some particular cases. Our results rely on an abstract representation theorem for the $Gamma^+$-limit of a family of supremal functionals| File | Dimensione | Formato | |
|---|---|---|---|
|
Babadjian_Dimensional_2012.pdf
solo gestori archivio
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
9.38 MB
Formato
Adobe PDF
|
9.38 MB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
