In this paper we study the homogenization of an elliptic boundary-value problem, with oscillating coefficients, in a domain Ω of R^n consisting of a connected component Ωε1 and a disconnected one Ωε2, which is union of ε-periodic connected components of size rε, with rε << ε. On the contact surface Γε = ∂Ωε2 separating these two subsets of Ω we prescribe the continuity of the conormal derivatives and a jump of the solution which is proportional to the conormal derivative by means of a function δε. Here, we prove a result concerning the case in which the sequence rε/ε^2 δε is bounded.

Homogenization of a composite with very small inclusions and imperfect interface

MONSURRO', SARA
2005

Abstract

In this paper we study the homogenization of an elliptic boundary-value problem, with oscillating coefficients, in a domain Ω of R^n consisting of a connected component Ωε1 and a disconnected one Ωε2, which is union of ε-periodic connected components of size rε, with rε << ε. On the contact surface Γε = ∂Ωε2 separating these two subsets of Ω we prescribe the continuity of the conormal derivatives and a jump of the solution which is proportional to the conormal derivative by means of a function δε. Here, we prove a result concerning the case in which the sequence rε/ε^2 δε is bounded.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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: http://hdl.handle.net/11386/1063496
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact