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arXiv · 2305.04078

On the optimal shape of a thin insulating layer

Paolo Acampora·Emanuele Cristoforoni·Carlo Nitsch·Cristina Trombetti
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Abstract

We are interested in the thermal insulation of a bounded open set $\Omega$ surrounded by a set whose thickness is locally described by $\varepsilon h$, where $h$ is a non-negative function defined on the boundary $\partial\Omega$. We study the problem in the limit for $\varepsilon$ going to zero using a first-order asymptotic development by $\Gamma$-convergence.

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Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch, Cristina Trombetti. 2023-05-06. On the optimal shape of a thin insulating layer. https://doi.org/10.1137/23m1572544

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