Abstract
In this paper we consider some homogenized models, which arise in consequence homogenization of boundary-value problems describing physical processes in highly inhomogeneous media. Such media take place, for example, in theory filtration, applied superconductivity,etc. Physical processes in them are described by both boundary-value problems in highly perforated domains and partial differential equations with rapidly oscillating coefficients, which do not satisfy conditions of uniform ellipticity or boundedness. The homogenization of such problems leads to unusual homogenized models (nonlocal, multiphase models, model with memory and others).
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References
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© 1991 Birkhäuser Boston
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Khruslov, E.Y. (1991). Homogenized Models of Composite Media. In: Dal Maso, G., Dell’Antonio, G.F. (eds) Composite Media and Homogenization Theory. Progress in Nonlinear Differential Equations and Their Applications, vol 5. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6787-1_10
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DOI: https://doi.org/10.1007/978-1-4684-6787-1_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4684-6789-5
Online ISBN: 978-1-4684-6787-1
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