ISSN:
1572-9036
Keywords:
effective properties
;
homogenization
;
composites
;
conductivities
;
bounds, Padé approximants
;
continued fractions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006487103815
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