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The general theory of homogenization : a personalized introduction
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The general theory of homogenization : a personalized introduction

Luc Tartar

Publication Data

Contents

Why do I write?
A personalized overview of homogenization I
A personalized overview of homogenization II
An academic question of Jacques-Louis Lions
A useful generalization by François Murat
Homogenization of an elliptic equation
The div-curl lemma
Physical implications of homogenization
A framework with differential forms
Properties of H-convergence
Homogenization of monotone operators
Homogenization of laminated materials
Correctors in linear homogenization
Correctors in nonlinear homogenization
Holes with Dirichlet conditions
Holes with Neumann conditions
Compensated compactness
A Lemma for studying boundary layers
A model in hydrodynamics
Problems in dimension N=2
Bounds on effective coefficients
Functions attached to geometries
Memory effects
Other nonlocal effects
The Hashin-Shtrikman construction
Confocal ellipsoids and spheres
Laminations again, and again
Wave front sets, H-measures
Small-amplitude homogenization
H-measures and bounds on effective coefficients
H-measures and propagation effects
Variants of H-measures
Relations between young measures and H-measures.

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The general theory of homogenization : a personalized introduction by Luc Tartar. ISBN 9783642051951. Published by Springer in 2009. Publication and catalogue information, links to buy online and reader comments.

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