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Seminario: “Recent advances in singular perturbation problems in perforated domains”

Mercoledì 20 Settembre 2017, ore 12:15 - Aula 2AB40 - Paolo Musolino

ARGOMENTI: Seminari

Mercoledì 20 Settembre 2017 alle ore 12:15 in Aula 2AB40, Paolo Musolino (Aberystwyth University) terrà una conferenza dal titolo “Recent advances in singular perturbation problems in perforated domains”

Abstract
In this talk, we present some recent results on the analysis of singular perturbation problems in perforated domains. First, we will consider the asymptotic behavior of the solutions of a mixed problem for the Laplace equation in a domain with moderately close holes, i.e., with distance tending to zero “not faster” than the size. We describe what happens to the solutions in terms of real analytic maps and we compute asymptotic expansions, by an approach based on Potential Theory and Functional Analysis. Then we will show how our method can be exploited to analyze the influence of perforations close to the boundary and near the vertex of a planar sector.
Based on joint works with V. Bonnaillie-Noël, M. Costabel, M. Dalla Riva, M. Dambrine and M. Dauge.

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