The General Theory of Homogenization: A Personalized Introduction - Couverture souple

Tartar, Luc

Couverture souple

ISBN 10 : 3642051944 ISBN 13 : 9783642051944

Editeur : Springer, 2009

Synopsis

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.

A propos du livre

Présentation de l'éditeur

Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level. New mathematical tools must be introduced, like the H-measures discussed here, for a better understanding.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 3642051944
• ISBN 13: 9783642051944
• Reliure: Broché
• Nombre de pages: 496
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne