The General theory of homogenization

The General theory of homogenization: a personalized introduction

by Tartar, Luc

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Title Statements

  • Full title :The General theory of homogenization : a personalized introduction / Luc Tartar.

Edition Statements

  • Publication Date:2009.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:2009.

The Physical Object

  • Description:1 online resource (467 p.)

Edition Identifiers

  • ISBN:9783642051951, 3642051952, 9783642052378, 3642052371, 9783642051944, 3642051944
  • oclc:ocn535510699
  • LC Classification:QA377

Table of 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.

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Subjects

fluids Homogénéisation (Équations différentiel… Homogenization (Differential equations) mathematics MATHEMATICS -- General mechanica Mechanics Partial Differential Equations vloeistoffen (fluids) wiskunde Wiskunde (algemeen)

Writers

Tartar, Luc

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