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Tartar, Luc

The General Theory of Homogenization

Tartar, Luc - The General Theory of Homogenization, ebook

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ISBN: 9783642051951
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Table of contents

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 N = 2
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)
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

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