The general theory of homogenization: a personalized introduction/
Tartar, Luc
The general theory of homogenization: a personalized introduction/ Luc Tartar - New York: Springer, 2009. - xxii, 470 p. ; 24 cm. - (Lecture notes of the Unione Matematica Italiana), 7 .
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.
9783642051944
Homogenization
Hydraulic engineering
Differential equations
Mathematics
510 / TAR /
The general theory of homogenization: a personalized introduction/ Luc Tartar - New York: Springer, 2009. - xxii, 470 p. ; 24 cm. - (Lecture notes of the Unione Matematica Italiana), 7 .
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.
9783642051944
Homogenization
Hydraulic engineering
Differential equations
Mathematics
510 / TAR /