We investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations in an open set: the size of the perforations is ϱ1ϱ2, while the distance of the cavities is proportional to ϱ1. Then, if r∗ is small enough, we analyze the behavior of the solution for (ϱ1,ϱ2) close to the degenerate pair (0,r∗).
We investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations in an open set: the size of the perforations is ϱ1ϱ2, while the distance of the cavities is proportional to ϱ1. Then, if r∗ is small enough, we analyze the behavior of the solution for (ϱ1,ϱ2) close to the degenerate pair (0,r∗). Copyright © 2016 John Wiley & Sons, Ltd.
Autori: | Musolino P. (Corresponding) |
Data di pubblicazione: | 2018 |
Titolo: | Moderately close Neumann inclusions for the Poisson equation |
Rivista: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1002/mma.4028 |
Volume: | 41 |
Appare nelle tipologie: | 2.1 Articolo su rivista |
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