Heat equation with temperature-dependent conductivity coefficients and macroscopic properties of microheterogeneous media

DOI10.1016/S0895-7177(00)00290-9zbMath0979.80011MaRDI QIDQ5936772

Andrzej Gałka, Stanisław Tokarzewski, Józef Joachim Telega

Publication date: 8 July 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

homogenizationPadé approximantsboundsmicroperiodic coefficientsquasi-linear heat equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization for problems in thermodynamics and heat transfer (80M40)

Related Items (4)

Effective thermal conductivity of a composite with thermo-sensitive constituents and related problems ⋮ Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites ⋮ Shear wave propagation in layered composites with degraded matrices at locations of imperfect bonding ⋮ Multi-scale computational method for nonlinear dynamic thermo-mechanical problems of composite materials with temperature-dependent properties

Cites Work

• Bounds on the complex permittivity of a multicomponent material
• On the homogenization of quasilinear divergence structure operators
• Variational bounds on the effective moduli of anisotropic composites
• Non-homogeneous media and vibration theory
• Inequalities for two-point Padé approximants to the expansions of Stieltjes functions in a real domain
• Bounds on effective moduli by analytical continuation of the Stieltjes function expanded at zero and infinity
• Continued fraction representation for the effective thermal conductivity coefficient of a regular two-component composite
• Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects
• Un résultat d'homogénéisation pour une classe de problèmes de diffusion non linéaires stationnaires
• Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
• Topics in the mathematical modelling of composite materials
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