000 | 00374nam a2200145Ia 4500 | ||
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999 |
_c170404 _d170404 |
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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. |
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300 |
_axxii, 470 p. ; _c24 cm. |
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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 |