Laplace-Beltrami operator for the heat conduction in polymer coating of electronic devices

DOI10.3934/dcdsb.2018078zbMath1428.35024OpenAlexW2781709254WikidataQ128221684 ScholiaQ128221684MaRDI QIDQ1671112

Micol Amar, Roberto Gianni

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018078

zbMATH Keywords

Laplace-Beltrami operatortwo-scale convergencetangential derivativespolymer encapsulationunfolding periodic method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (14)

Interface potential in composites with general imperfect transmission conditions ⋮ Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator ⋮ Heat conduction in composite media involving imperfect contact and perfectly conductive inclusions ⋮ Homogenization of parabolic problems with dynamical boundary conditions of reactive‐diffusive type in perforated media ⋮ Double layer concentration and homogenization for the heat diffusion in a composite material ⋮ Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model ⋮ Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media ⋮ Homogenization of singular elliptic systems with nonlinear conditions on the interfaces ⋮ Homogenization of elliptic problems involving interfaces and singular data ⋮ Homogenization of a modified bidomain model involving imperfect transmission ⋮ Upscaling of a parabolic system with a large nonlinear surface reaction term ⋮ Existence, uniqueness and concentration for a system of PDEs involving the Laplace-Beltrami operator ⋮ Existence and uniqueness for a two-scale system involving tangential operators ⋮ Upscaling of a double porosity problem with jumps in thin porous media

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