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The general theory of homogenization : a personalized introduction / Luc Tartar.

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Author/Creator:
Tartar, Luc.
Language:
English.
Publication date:
2009
Imprint:
Heidelberg ; New York : Springer : UMI, c2009.
Format:
  • Book
  • xxii, 470 p. ; 24 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
  • Why do I write?
  • A personalized overview of homogenization I
  • A personalized overview of homogenization II
  • An academic question of Jacques-Louis Lions
  • A useful generalization by François Murat
  • Homogenization of an elliptic equation
  • The div-curl lemma
  • Physical implications of homogenization
  • A framework with differential forms
  • Properties of H-convergence
  • Homogenization of monotone operators
  • Homogenization of laminated materials
  • Correctors in linear homogenization
  • Correctors in nonlinear homogenization
  • Holes with Dirichlet conditions
  • Holes with Neumann conditions
  • Compensated compactness
  • A Lemma for studying boundary layers
  • A model in hydrodynamics
  • Problems in dimension N=2
  • Bounds on effective coefficients
  • Functions attached to geometries
  • Memory effects
  • Other nonlocal effects
  • The Hashin-Shtrikman construction
  • Confocal ellipsoids and spheres
  • Laminations again, and again
  • Wave front sets, H-measures
  • Small-amplitude homogenization
  • H-measures and bounds on effective coefficients
  • H-measures and propagation effects
  • Variants of H-measures
  • Relations between young measures and H-measures.
Series:
Lecture notes of the Unione Matematica Italiana, 1862-9113 ; 7
Lecture notes of the Unione Matematica Italiana ; 7.
Subjects:
ISBN:
9783642051944
3642051944
9783642051951
3642051952

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