Estimating thermal insulating ability of anisotropic coatings via Robin eigenvalues and eigenfunctions

DOI10.3934/dcds.2009.25.1061zbMath1181.35289OpenAlexW2065772281MaRDI QIDQ1034189

Xuefeng Wang, Guojing Zhang, Steve Rosencrans, Kai-Jun Zhang

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.1061

zbMATH Keywords

asymptoticsanisotropyoverheatingthin insulatorRobin eigenvalue problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Variational methods applied to problems in thermodynamics and heat transfer (80M30)

Related Items

Lifespan of effective boundary conditions for the heat equation ⋮ Asymptotic behavior of Robin problem for heat equation on a coated body ⋮ On the lowest eigenvalue of Laplace operators with mixed boundary conditions ⋮ Error estimates and lifespan of effective boundary conditions for 2-dimensional optimally aligned coatings ⋮ REINFORCEMENT OF THE POISSON EQUATION BY A THIN LAYER ⋮ Asymptotic behavior of Dirichlet eigenvalues on a body coated by functionally graded material