We study the thermal insulation of a bounded body Ω ⊂ Rn, 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.
A free boundary problem in thermal insulation with a prescribed heat source / Acampora, Paolo; Cristoforoni, Emanuele; Nitsch, Carlo; Trombetti, Cristina. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - 29:3(2023). [10.1051/cocv/2022081]
A free boundary problem in thermal insulation with a prescribed heat source
Paolo Acampora;Emanuele Cristoforoni;Carlo Nitsch;Cristina Trombetti
2023
Abstract
We study the thermal insulation of a bounded body Ω ⊂ Rn, 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
