The general theory of homogenization
a personalized introduction
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Word Count
117,500 words, Guess
Page Count
470 pages
Identifiers
- Internet Archivegeneraltheoryhom00tart
- Internet Archivegeneraltheoryhom00ltar
- Internet Archivegeneraltheoryhom00tart_253
- ISBN-103642051944
- ISBN-103642051952
and 7 more
- ISBN-139783642051944
- ISBN-139783642051951
- Library of Congress Control Number2009941069
- OCLC Control Number462918922
- Better World Books9783642051944
- Better World Books9783642051951
- Open LibraryOL25272653M
Classifications
- DDC515.35
- LCCQA377 .T35 2009
- LCCQC1-75
and 2 more
- LCCQC19.2-20.85
- LCCQA377 .T37 2009
Description
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.
Subjects
Series Statement
- Lecture notes of the Unione Matematica Italiana -- 7
Other Editions
- The general theory of homogenization: a personalized introduction
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