Diffractive geometric optics for Bloch wave packets

G Allaire, M Palombaro, J Rauch - Archive for rational mechanics and …, 2011 - Springer
We study, for times of order 1/ε, solutions of wave equations which are O (ε^ 2) modulations
of an ε periodic wave equation. The solutions are of slowly varying amplitude type built on …

Diffractive behavior of the wave equation in periodic media: weak convergence analysis

G Allaire, M Palombaro, J Rauch - Annali di Matematica Pura ed Applicata, 2009 - Springer
We study the homogenization and singular perturbation of the wave equation in a periodic
media for long times of the order of the inverse of the period. We consider initial data that are …

[PDF][PDF] Diffractive geometric optics for Bloch wave packets

G Allaire, M Palombaro, J Rauch - 2008 - webdoc.sub.gwdg.de
We study, for times of order 1/ε, solutions of wave equations which are O (ε2) modulations of
an ε periodic wave equation. The solutions are of slowly varying amplitude type built on …

[PDF][PDF] ŠܹÈÐ Ò ¹ÁÒ× Ø ØÙØ

G Allaire, M Palombaro, J Rauch - Citeseer
We study the homogenization and singular perturbation of the wave equation in a periodic
media for long times of the order of the inverse of the period. We consider inital data that are …