We study the thermal insulation of a bounded body Ω G -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.
A free boundary problem in thermal insulation with a prescribed heat source
Acampora P.;
2023-01-01
Abstract
We study the thermal insulation of a bounded body Ω G -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.File in questo prodotto:
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