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Geometry and asymptotics in homogenization

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Composite Media and Homogenization Theory

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 5))

Abstract

We will discuss the methods for asymptotic computation of the effective parameters of a heterogeneous medium. Mostly, the case of strongly inhomogeneous media will be considered. The mathematical description of such media includes also a parameter which is responsible for the difference of the medium properties in distinct points. It will be demonstrated that inserting of this parameter shows clearly how the effective parameter depends on the structural medium geometry. This review relies on the work [1] and some further investigations.

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References

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© 1991 Birkhäuser Boston

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Kozlov, S.M. (1991). Geometry and asymptotics in homogenization. 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_12

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  • DOI: https://doi.org/10.1007/978-1-4684-6787-1_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4684-6789-5

  • Online ISBN: 978-1-4684-6787-1

  • eBook Packages: Springer Book Archive

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