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The General Theory of Homogenization

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Cover of 'The General Theory of Homogenization'

Table of Contents

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    Book Overview
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    Chapter 1 Why Do I Write?
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    Chapter 2 A Personalized Overview of Homogenization I
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    Chapter 3 A Personalized Overview of Homogenization II
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    Chapter 4 An Academic Question of Jacques-Louis Lions
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    Chapter 5 A Useful Generalization by François Murat
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    Chapter 6 Homogenization of an Elliptic Equation
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    Chapter 7 The Div–Curl Lemma
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    Chapter 8 Physical Implications of Homogenization
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    Chapter 9 A Framework with Differential Forms
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    Chapter 10 Properties of H-Convergence
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    Chapter 11 Homogenization of Monotone Operators
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    Chapter 12 Homogenization of Laminated Materials
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    Chapter 13 Correctors in Linear Homogenization
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    Chapter 14 Correctors in Nonlinear Homogenization
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    Chapter 15 Holes with Dirichlet Conditions
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    Chapter 16 Holes with Neumann Conditions
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    Chapter 17 Compensated Compactness
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    Chapter 18 A Lemma for Studying Boundary Layers
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    Chapter 19 A Model in Hydrodynamics
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    Chapter 20 Problems in Dimension N = 2
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    Chapter 21 Bounds on Effective Coefficients
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    Chapter 22 Functions Attached to Geometries
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    Chapter 23 Memory Effects
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    Chapter 24 Other Nonlocal Effects
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    Chapter 25 The Hashin–Shtrikman Construction
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    Chapter 26 Confocal Ellipsoids and Spheres
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    Chapter 27 Laminations Again, and Again
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    Chapter 28 Wave Front Sets, H-Measures
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    Chapter 29 Small-Amplitude Homogenization
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    Chapter 30 H-Measures and Bounds on Effective Coefficients
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    Chapter 31 H-Measures and Propagation Effects
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    Chapter 32 Variants of H-Measures
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    Chapter 33 Relations Between Young Measures and H-Measures
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    Chapter 34 Conclusion
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    Chapter 35 Biographical Information
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    Chapter 36 Abbreviations and Mathematical Notation
Attention for Chapter 15: Holes with Dirichlet Conditions
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Chapter title
Holes with Dirichlet Conditions
Chapter number 15
Book title
The General Theory of Homogenization
Published by
Springer, Berlin, Heidelberg, January 2009
DOI 10.1007/978-3-642-05195-1_15
Book ISBNs
978-3-64-205194-4, 978-3-64-205195-1
Authors

Luc Tartar

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