Multi-scale analysis for wave problems with disparate propagation speeds-Reference-Cited by-同舟云学术

Multi-scale analysis for wave problems with disparate propagation speeds

Published:2021-03-04 Issue:1-2 Volume:122 Page:131-164
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Bostan Mihaï¹

Affiliation:

1. Aix Marseille Université, CNRS, Centrale Marseille, Institut de Mathématiques de Marseille, UMR 7373, Château Gombert 39 rue F. Joliot Curie, 13453 Marseille, France. E-mail: mihai.bostan@univ-amu.fr

Abstract

The subject matter of this work concerns the asymptotic behavior of the wave problems, when the propagation speed in one direction is much larger than in the other directions. We establish weak and strong convergence results. We appeal to homogenization arguments, based on average operators with respect to unitary groups.

Publisher

IOS Press

Subject

General Mathematics

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