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Abstract In this paper, we will consider an optimal shape problem of heat insulation introduced by [D. Bucur, G. Buttazzo and C. Nitsch, Two optimization problems in thermal insulation, Notices… Click to show full abstract
Abstract In this paper, we will consider an optimal shape problem of heat insulation introduced by [D. Bucur, G. Buttazzo and C. Nitsch, Two optimization problems in thermal insulation, Notices Amer. Math. Soc.64 (2017), 8, 830–835]. We will establish the existence of optimal shapes in the class of ????-uniform domains. We will also show that balls are stable solutions of the optimal heat insulation problem.
Keywords:
uniform domains;
domains optimal;
insulation;
optimal thermal;
compactness uniform;
thermal insulation
Journal Title: Advances in Calculus of Variations
Year Published: 2020
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Journal Title: Advances in Calculus of Variations
Year Published: 2020
Link to full text (if available)
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recommendations!