Geodesic
Defects in homogenization theory
Le Bris, Claude1
1 Ecole des Ponts & Inria 6 & 8 Avenue Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne La Vallée Cedex 2
Séminaire Laurent Schwartz — EDP et applications (2022-2023), Exposé no. 2, 17 p.

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We review a series of works that address homogenization for partial differential equations with highly oscillatory coefficients. A prototypical setting is that of periodic coefficients that are locally, or more globally perturbed. We investigate the homogenization limits obtained, first for linear elliptic equations, both in conservative and non conservative forms, and next for nonlinear equations such as Hamilton-Jacobi type equations.

Publié le :
DOI : 10.5802/slsedp.157

Le Bris, Claude 1

1 Ecole des Ponts & Inria 6 & 8 Avenue Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne La Vallée Cedex 2 
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     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
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Le Bris, Claude. Defects in homogenization theory. Séminaire Laurent Schwartz — EDP et applications (2022-2023), Exposé no. 2, 17 p.. doi: 10.5802/slsedp.157

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