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
thermal insulationconvection heat transfershape optimization problemsconduction heat transfer, radiation heat transfer
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)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach
- Steiner and Schwarz symmetrization in warped products and fiber bundles with density
- A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
- Membranes élastiquement liées inhomogènes ou sur une surface: Une nouvelle extension de théorème isopérimétrique de Rayleigh-Faber- Krahn. (Inhomogeneously or on a surface elastically supported membranes: A new extension of the isoperimetric theorem of Rayleigh-Faber-Krahn)
- Approximation of free-discontinuity problems
- A free boundary problem related to thermal insulation: flat implies smooth
- Degenerate free discontinuity problems and spectral inequalities in quantitative form
- An optimal insulation problem
- Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints
- Monotonicity formula and regularity for general free discontinuity problems
- A Faber-Krahn inequality for Robin problems in any space dimension
- A free boundary problem related to thermal insulation
- Sets of Finite Perimeter and Geometric Variational Problems
- On the Robin problem in fractal domains
This page was built for publication: Shape optimization of a thermal insulation problem
