The General Theory of Homogenization: A Personalized Introduction
Luc Tartar (auth.)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.
Catégories:
Année:
2010
Edition:
1
Editeur::
Springer-Verlag Berlin Heidelberg
Langue:
english
Pages:
471
ISBN 10:
3642051952
ISBN 13:
9783642051951
Collection:
Lecture Notes of the Unione Matematica Italiana 7
Fichier:
PDF, 9.96 MB
IPFS:
,
english, 2010
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