On the optimal shape of a thin insulating layer

Autor: Acampora, Paolo, Cristoforoni, Emanuele, Nitsch, Carlo, Trombetti, Cristina
Rok vydání: 2023
Předmět:
Zdroj: SIAM J. Math. Anal.56(2024), no.3, 3509-3536
Druh dokumentu: Working Paper
DOI: 10.1137/23M1572544
Popis: 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.
Databáze: arXiv