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.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
2 articles.
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