Shape optimization of a thermal insulation problem

DOI10.1007/s00526-022-02298-1zbMath1496.35383arXiv2112.07300OpenAlexW4287921950WikidataQ114017805 ScholiaQ114017805MaRDI QIDQ2159518

Dorin Bucur, Mickaël Nahon, Carlo Nitsch, Cristina Trombetti

Publication date: 1 August 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.07300

zbMATH Keywords

thermal insulationconvection heat transfershape optimization problemsconduction heat transfer, radiation heat transfer

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Optimization of shapes other than minimal surfaces (49Q10) Optimization problems in thermodynamics and heat transfer (80M50) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

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