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...
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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2010. |
| Серии: | Lecture Notes of the Unione Matematica Italiana
7 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
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 |
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| 100 | 1 | |a Tartar, Luc, |d 1946- | |
| 245 | 1 | 0 | |a The general theory of homogenization : |b a personalized introduction |c by Luc Tartar. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes of the Unione Matematica Italiana |v 7 |x 1862-9121 | |
| 500 | |a Description d'après consultation du 9 février 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the author s H-measures, variants by Patrick Gérard, and others yet to be discovered | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Homogénéisation (équations différentielles) | ||
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| 776 | 0 | |t The General Theory of Homogenization |b Texte imprimé |z 9783642052378 | |
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