The homogenization of quadratic integral functionals for combined structures with singular or asymptotically singular reinforcement is studied in a model case in dimension N = 2. Generalizations to more general cases in dimension N = 2 or to some model cases in dimension N > 2 are discussed. Such results are obtained in the frame of homogenization of problems depending on two parameters developed by V. V. Zhikov in [Funct. Anal. Appl. 33 (1999)(1)], [Sb. Math. 191 (2000)(7-8)], and [Izv. Math. 66 (2002)(2)]. In particular, an essential tool is the notion of two-scale convergence of sequences of functions belonging to Sobolev spaces with respect to variable measures.

Homogenization of scalar problems for a combined structure with singular or thin reinforcement

Cardone G;
2007-01-01

Abstract

The homogenization of quadratic integral functionals for combined structures with singular or asymptotically singular reinforcement is studied in a model case in dimension N = 2. Generalizations to more general cases in dimension N = 2 or to some model cases in dimension N > 2 are discussed. Such results are obtained in the frame of homogenization of problems depending on two parameters developed by V. V. Zhikov in [Funct. Anal. Appl. 33 (1999)(1)], [Sb. Math. 191 (2000)(7-8)], and [Izv. Math. 66 (2002)(2)]. In particular, an essential tool is the notion of two-scale convergence of sequences of functions belonging to Sobolev spaces with respect to variable measures.
File in questo prodotto:
File Dimensione Formato  
CardoneCorboPastukhova.pdf

non disponibili

Licenza: Non specificato
Dimensione 295.89 kB
Formato Adobe PDF
295.89 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/2468
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 3
social impact