A free boundary problem in thermal insulation with a prescribed heat source

Autor: Acampora, Paolo, Cristoforoni, Emanuele, Nitsch, Carlo, Trombetti, Cristina
Rok vydání: 2022
Předmět:
Zdroj: ESAIM: COCV, 29 (2023) 3
Druh dokumentu: Working Paper
DOI: 10.1051/cocv/2022081
Popis: We study the thermal insulation of a bounded body $\Omega\subset\mathbb{R}^n$, under a prescribed heat source $f>0$, via a bulk layer of insulating material. We consider a model of heat transfer between the insulated body and the environment determined by convection; this corresponds to Robin boundary conditions on the free boundary of the layer. We show that a minimal configuration exists and that it satisfies uniform density estimates.
Databáze: arXiv