On the optimal shape of a thin insulating layer
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Publication:6561294
DOI10.1137/23M1572544zbMATH Open1545.49012MaRDI QIDQ6561294
Cristina Trombetti, Carlo Nitsch, Emanuele Cristoforoni, Paolo Acampora
Publication date: 25 June 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Methods involving semicontinuity and convergence; relaxation (49J45) Symmetries, invariants, etc. in context of PDEs (35B06) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
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- Reinforcement problems in the calculus of variations
- Reinforcement problems for elliptic equations and variational inequalities
- Reinforcement of the principal eigenvalue of an elliptic operator
- An introduction to \(\Gamma\)-convergence
- An optimal insulation problem
- Shape optimization of a thermal insulation problem
- Asymptotic development by \(\Gamma{}\)-convergence
- A free boundary problem related to thermal insulation
- Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory
- An optimization problem in thermal insulation with Robin boundary conditions
- Convex Bodies The Brunn-MinkowskiTheory
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