A two-scale model for the periodic homogenization of the wave equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal de Mathématiques Pures et Appliquées Année : 2010

A two-scale model for the periodic homogenization of the wave equation

Résumé

We present a new mathematical object designed to analyze the oscillations occurring on both microscopic and macroscopic scales in a wave equation with oscillating coefficients and data. Through a Bloch wave homogenization method, our study addresses typical problems of two-scale convergence in the interior of the domain, and sheds some light on the behavior near the boundary. A decoupled system of (systems of) transport equations is derived in each energy band, and the total energy field is approximated. We also recover previously known results in homogenization as a restricted part of our model.
Fichier non déposé

Dates et versions

hal-00479862 , version 1 (03-05-2010)

Identifiants

  • HAL Id : hal-00479862 , version 1

Citer

Matthieu Brassart, Lenczner Michel. A two-scale model for the periodic homogenization of the wave equation. Journal de Mathématiques Pures et Appliquées, 2010, 93 (5), pp.474-517. ⟨hal-00479862⟩
110 Consultations
0 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More