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

نویسندگان

چکیده

We study the thermal insulation of a bounded body $\Omega\subset\mathbb{R}^n$, under prescribed heat source $f>0$, via bulk layer insulating material. consider model transfer between insulated and environment determined by convection; this corresponds to Robin boundary conditions on free layer. show that minimal configuration exists it satisfies uniform density estimates.

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ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2023

ISSN: ['1262-3377', '1292-8119']

DOI: https://doi.org/10.1051/cocv/2022081