On the optimal shape of a thin insulating layer
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913358725251072 |
|---|---|
| author | Acampora, Paolo Cristoforoni, Emanuele Nitsch, Carlo Trombetti, Cristina |
| author_facet | Acampora, Paolo Cristoforoni, Emanuele Nitsch, Carlo Trombetti, Cristina |
| contents | We are interested in the thermal insulation of a bounded open set $Ω$ surrounded by a set whose thickness is locally described by $\varepsilon h$, where $h$ is a non-negative function defined on the boundary $\partialΩ$. We study the problem in the limit for $\varepsilon$ going to zero using a first-order asymptotic development by $Γ$-convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04078 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the optimal shape of a thin insulating layer Acampora, Paolo Cristoforoni, Emanuele Nitsch, Carlo Trombetti, Cristina Analysis of PDEs 49J45, 35J25, 35B06, 80A19 We are interested in the thermal insulation of a bounded open set $Ω$ surrounded by a set whose thickness is locally described by $\varepsilon h$, where $h$ is a non-negative function defined on the boundary $\partialΩ$. We study the problem in the limit for $\varepsilon$ going to zero using a first-order asymptotic development by $Γ$-convergence. |
| title | On the optimal shape of a thin insulating layer |
| topic | Analysis of PDEs 49J45, 35J25, 35B06, 80A19 |
| url | https://arxiv.org/abs/2305.04078 |