Two-temperature homogenized eigenfunctions of conduction through domains with jump interfaces

DOI10.1080/00036811.2018.1563292zbMath1448.35026OpenAlexW2909579154MaRDI QIDQ5120816

Alina Ştefan, Dan Poliševski, Isabelle Gruais

Publication date: 16 September 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1563292

zbMATH Keywords

two-scale convergenceinterfacial jumpeffective eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Structured surfaces and interfaces, coexistent phases (74A50) Estimates of eigenvalues in context of PDEs (35P15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization for problems in thermodynamics and heat transfer (80M40) Variational methods for eigenvalues of operators (49R05)

Cites Work

• Homogenization of elliptic eigenvalue problems. I
• Model of two-temperature convective transfer in porous media
• Homogenization of a thermal problem with flux jump
• Homogenization in open sets with holes
• Homogenization of eigenvalue problems in perforated domains
• Macroscopic modelling of heat transfer in composites with interfacial thermal barrier
• Model of diffusion in partially fissured media
• Homogenization for heat transfer in polycrystals with interfacial resistances
• Heat transfer models for two-component media with interfacial jump
• Homogenization and Two-Scale Convergence
• Heat Conduction in Fine Scale Mixtures With Interfacial Contact Resistance
• HOMOGENIZATION OF TWO HEAT CONDUCTORS WITH AN INTERFACIAL CONTACT RESISTANCE
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