Tartar, Luc
The General Theory of Homogenization
1. Why Do I Write?
Luc Tartar
2. A Personalized Overview of Homogenization I
Luc Tartar
3. A Personalized Overview of Homogenization II
Luc Tartar
4. An Academic Question of Jacques-Louis Lions
Luc Tartar
5. A Useful Generalization by François Murat
Luc Tartar
6. Homogenization of an Elliptic Equation
Luc Tartar
7. The Div–Curl Lemma
Luc Tartar
8. Physical Implications of Homogenization
Luc Tartar
9. A Framework with Differential Forms
Luc Tartar
10. Properties of H-Convergence
Luc Tartar
11. Homogenization of Monotone Operators
Luc Tartar
12. Homogenization of Laminated Materials
Luc Tartar
13. Correctors in Linear Homogenization
Luc Tartar
14. Correctors in Nonlinear Homogenization
Luc Tartar
15. Holes with Dirichlet Conditions
Luc Tartar
16. Holes with Neumann Conditions
Luc Tartar
17. Compensated Compactness
Luc Tartar
18. A Lemma for Studying Boundary Layers
Luc Tartar
19. A Model in Hydrodynamics
Luc Tartar
20. Problems in Dimension
Luc Tartar
21. Bounds on Effective Coefficients
Luc Tartar
22. Functions Attached to Geometries
Luc Tartar
23. Memory Effects
Luc Tartar
24. Other Nonlocal Effects
Luc Tartar
25. The Hashin–Shtrikman Construction
Luc Tartar
26. Confocal Ellipsoids and Spheres
Luc Tartar
27. Laminations Again, and Again
Luc Tartar
28. Wave Front Sets, H-Measures
Luc Tartar
29. Small-Amplitude Homogenization
Luc Tartar
30. H-Measures and Bounds on Effective Coefficients
Luc Tartar
31. H-Measures and Propagation Effects
Luc Tartar
32. Variants of H-Measures
Luc Tartar
33. Relations Between Young Measures and H-Measures
Luc Tartar
34. Conclusion
Luc Tartar
35. Biographical Information
Luc Tartar
36. Abbreviations and Mathematical Notation
Luc Tartar
Keywords: Mathematics, Partial Differential Equations, Mechanics, Engineering Fluid Dynamics
- Author(s)
- Tartar, Luc
- Publisher
- Springer
- Publication year
- 2009
- Language
- en
- Edition
- 1
- Series
- Lecture Notes of the Unione Matematica Italiana
- Page amount
- 22 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783642051951