000 00374nam a2200145Ia 4500
999 _c170404
_d170404
020 _a9783642051944
040 _cCUS
082 _a510
_bTAR /
100 _aTartar, Luc
245 _aThe general theory of homogenization: a personalized introduction/
_cLuc Tartar
260 _aNew York:
_bSpringer,
_c2009.
300 _axxii, 470 p. ;
_c24 cm.
440 _a(Lecture notes of the Unione Matematica Italiana),
_v7
505 _aWhy 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.
650 _aHomogenization
650 _aHydraulic engineering
650 _aDifferential equations
650 _aMathematics
942 _cWB16