TY - BOOK AU - Tartar, Luc TI - The general theory of homogenization: a personalized introduction SN - 9783642051944 U1 - 510 PY - 2009/// CY - New York PB - Springer KW - Homogenization KW - Hydraulic engineering KW - Differential equations KW - Mathematics N1 - 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 ER -