The General Theory of Homogenization: A Personalized Introduction

By Luc Tartar

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 Fran#x00E7;ois Murat.- Homogenization of an Elliptic Equation.- The Div#x2013;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 = 2.- Bounds on Effective Coefficients.- Functions Attached to Geometries.- Memory Effects.- Other Nonlocal Effects.- The Hashin#x2013;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.- Conclusion.- Biographical Information.- Abbreviations and Mathematical Notation.

• Format: Paperback
• Language: English
• ISBN: 3642051944
• ISBN13: 9783642051944
• Release Date: December 2009
• Publisher: Springer
• Length: 471 Pages
• Weight: 1.52 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"