The general theory of homogenization : a personalized introduction
Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various...
Shranjeno v:
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2010. |
| Serija: | Lecture Notes of the Unione Matematica Italiana
7 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Description d'après consultation du 9 février 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The general theory of homogenization, a personalized introduction, Luc Tartar, 2009, Berlin, Springer, 1 vol. (XXII-470 p.), Lecture notes of the Unione Matematica Italiana, 978-3-642-05194-4 • The General Theory of Homogenization, Texte imprimé, 9783642052378 • The general theory of homogenization, a personalized introduction, Luc Tartar, 2009, Berlin, Springer, 1 vol. (XXII-470 p.), Lecture notes of the Unione Matematica Italiana, 978-3-642-05194-4 |
Kazalo:
- 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