We investigate the behavior of the solution of a mixed problem in a domain with two moderately close holes. We introduce a positive parameter ε and we define a perforated domain Ωε obtained by making two small perforations in an open set. Both the size and the distance of the cavities tend to 0 as ε → 0. For ε small, we denote by uε the solution of a mixed problem for the Laplace equation in Ωε. We describe what happens to uε as ε → 0 in terms of real analytic maps and we compute an asymptotic expansion.
We investigate the behavior of the solution of a mixed problem in a domain with two moderately close holes. We introduce a positive parameter epsilon and we define a perforated domain (epsilon) obtained by making two small perforations in an open set. Both the size and the distance of the cavities tend to 0 as epsilon 0. For epsilon small, we denote by u(epsilon) the solution of a mixed problem for the Laplace equation in (epsilon). We describe what happens to u(epsilon) as epsilon 0 in terms of real analytic maps and we compute an asymptotic expansion.
Autori: | Musolino P. (Corresponding) |
Data di pubblicazione: | 2016 |
Titolo: | A mixed problem for the Laplace operator in a domain with moderately close holes |
Rivista: | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/03605302.2015.1135166 |
Volume: | 41 |
Appare nelle tipologie: | 2.1 Articolo su rivista |
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