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The General Theory of Homogenization by Luc Tartar
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The General Theory of Homogenization

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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.
Release date Australia
December 21st, 2009
Author
Audience
  • Postgraduate, Research & Scholarly
Illustrations
XXII, 471 p.
Pages
471
Dimensions
156x234x25
ISBN-13
9783642051944
Product ID
3806701

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