Homogenization in perforated domains with mixed conditions |
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| Authors: | G. Cardone C. D'Apice U. De Maio |
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| Affiliation: | (1) Seconda Universitá di Napoli, Dipartimento di Ingegneria Civile, Via Roma 29, 81031 Aversa (CE), Italy, e-mail: giuseppe.cardone@unina2.it, IT;(2) Universitá di Salerno, Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, Via Ponte don Melillo, 84084 Fisciano (SA), Italy, e-mail: dapice@diima.unisa.it , IT;(3) Universitá di Napoli "Federico II", Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Complesso Monte S. Angelo, Via Cintia, 80126 Napoli, Italy, e-mail: udemaio@unina.it , IT |
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| 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 ε 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 if (, if n=2) of the boundary of every hole, while we take an homogeneous Neumann condition elsewhere. |
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| Keywords: | : Homogenization partial differential equations perforated domains. |
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