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Start Over Author "Paolo Acampora" Topic fos: mathematics
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1. A free boundary problem in thermal insulation with a prescribed heat source

Author

Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch, Cristina Trombetti, Acampora, Paolo, Cristoforoni, Emanuele, Nitsch, Carlo, and Trombetti, Cristina

Subjects
Computational Mathematics, Mathematics - Analysis of PDEs, Control and Optimization, Control and Systems Engineering, FOS: Mathematics, 35R35, 35J25, 35A01, Analysis of PDEs (math.AP)
Abstract

We study the thermal insulation of a bounded body Ω G 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.

Published
2023

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