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

By: Tartar, LucMaterial type: TextTextSeries: (Lecture notes of the Unione Matematica Italiana) ; 7Publication details: New York: Springer, 2009Description: xxii, 470 p. ; 24 cmISBN: 9783642051944Subject(s): Homogenization | Hydraulic engineering | Differential equations | MathematicsDDC classification: 510
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
General Books General Books Central Library, Sikkim University
General Book Section
510 TAR / (Browse shelf(Opens below)) Available P25382
Total holds: 0

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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