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

Author/creator Tartar, Luc
Format Electronic
Publication InfoHeidelberg ; New York : Springer : UMI,
Descriptionxxii, 470 p. ; 24 cm.
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2010 English International
Supplemental ContentFull text available from Springer Books
Subjects

SeriesLecture notes of the Unione Matematica Italiana, 1862-9113 ; 7
Lecture notes of the Unione Matematica Italiana ; 7. ^A702665
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.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2009941069
ISBN9783642051944
ISBN3642051944
ISBN9783642051951 (e-ISBN)
ISBN3642051952 (e-ISBN)