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...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2010. |
| Collection: | Lecture Notes of the Unione Matematica Italiana
7 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
| Résumé: | 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 |
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| Description: | Description d'après consultation du 9 février 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783642051951 |
| ISSN: | 1862-9121 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |