In this paper we study the asymptotic behaviour of the Laplace equation in a periodically perforated domain of R-n, where we assume that the period is epsilon and the size of the holes is of the same order of greatness. An homogeneous Dirichlet condition is given on the whole exterior boundary of the domain and on a flat portion of diameter epsilon(n/n-2) if n > 2 (exp(-epsilon(-2)), if n = 2) of the boundary of every hole, while we take an homogeneous Neumann condition elsewhere.
Homogenization in Perforated Domains with Mixed Conditions
D'APICE, Ciro;
2002-01-01
Abstract
In this paper we study the asymptotic behaviour of the Laplace equation in a periodically perforated domain of R-n, where we assume that the period is epsilon and the size of the holes is of the same order of greatness. An homogeneous Dirichlet condition is given on the whole exterior boundary of the domain and on a flat portion of diameter epsilon(n/n-2) if n > 2 (exp(-epsilon(-2)), if n = 2) of the boundary of every hole, while we take an homogeneous Neumann condition elsewhere.File in questo prodotto:
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