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Effective Conductivity of Nonlinear Two-Phase Media: Homogenization and Two-Point Padé Approximants

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Abstract

The aim of this paper is a study of the quasilinear transport equation, for instance the stationary heat equation. For periodically microheterogeneous media asymptotic homogenization has been performed with the local problem formulated as a minimization problem. The Golden–Papanicolaou integral representation theorem and some bounds developed for the linear equation have been extended. Two-point Padé approximants have been used to calculate bounds. Examples are also provided.

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  1. Institute of Fundamental Technological Research, Swiętokrzyska 21, 00-049, Warsaw, Poland

    J. J. Telega, S. Tokarzewski & A. Gałka

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  1. J. J. Telega
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  2. S. Tokarzewski
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  3. A. Gałka
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Telega, J.J., Tokarzewski, S. & Gałka, A. Effective Conductivity of Nonlinear Two-Phase Media: Homogenization and Two-Point Padé Approximants. Acta Applicandae Mathematicae 61, 295–315 (2000). https://doi.org/10.1023/A:1006487103815

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