Asymptotic behavior of Robin problem for heat equation on a coated body

DOI10.1216/RMJ-2012-42-3-937zbMath1254.35218MaRDI QIDQ444707

Guojing Zhang, Jingyu Li, Xuefeng Wang, Kai-Jun Zhang

Publication date: 16 August 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1344430866

zbMATH Keywords

anisotropysingular limiteffective boundary conditionscaling relationseffective Neumann conditionoptimally aligned coatingoverheatingthin insulator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Cites Work

• Asymptotic behavior of solutions to elliptic equations in a coated body
• Estimating thermal insulating ability of anisotropic coatings via Robin eigenvalues and eigenfunctions
• Reinforcement problems for elliptic equations and variational inequalities
• Reinforcement of the principal eigenvalue of an elliptic operator
• Elliptic partial differential equations of second order
• Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
• Suppression of the Dirichlet Eigenvalues of a Coated Body
• Asymptotic analysis of a Dirichlet problem for the heat equation on a coated body
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