Double layer concentration and homogenization for the heat diffusion in a composite material
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Publication:6192396
DOI10.2140/memocs.2024.12.19MaRDI QIDQ6192396
Afsheen Ayub, Roberto Gianni, Micol Amar
Publication date: 12 February 2024
Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)
Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- Interfacial discontinuity relations for coupled multifield phenomena and their application to the modeling of thin interphases as imperfect interfaces
- Homogenization of diffusion problems with a nonlinear interfacial resistance
- Macroscopic modelling of heat transfer in composites with interfacial thermal barrier
- Variational methods, bounds, and size effects for composites with highly conducting interface
- Error estimate for a homogenization problem involving the Laplace-Beltrami operator
- Laplace-Beltrami operator for the heat conduction in polymer coating of electronic devices
- Corrigendum to: ``Homogenization of elliptic problems involving interfaces and singular data
- The periodic unfolding method for a class of imperfect transmission problems
- Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator
- A hierarchy of models for the electrical conduction in biological tissues via two-scale convergence: the nonlinear case
- Homogenization of elliptic problems involving interfaces and singular data
- Existence, uniqueness and concentration for a system of PDEs involving the Laplace-Beltrami operator
- A versatile interface model for thermal conduction phenomena and its numerical implementation by XFEM
- Numerical modelling of thermomechanical solids with highly conductive energetic interfaces
- Reciprocal Relations, Bounds, and Size Effects for Composites with Highly Conducting Interface
- Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance
- EVOLUTION AND MEMORY EFFECTS IN THE HOMOGENIZATION LIMIT FOR ELECTRICAL CONDUCTION IN BIOLOGICAL TISSUES
- On a hierarchy of models for electrical conduction in biological tissues
- Interface potential in composites with general imperfect transmission conditions
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