Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation
Mathematical Physics
2017-03-16 v1 Analysis of PDEs
math.MP
Abstract
We prove local and global energy decay for the asymptotically periodic damped wave equation on the Euclidean space. Since the behavior of high frequencies is already mostly understood, this paper is mainly about the contribution of low frequencies. We show in particular that the damped wave behaves like a solution of a heat equation which depends on the H-limit of the metric and the mean value of the absorption index.
Keywords
Cite
@article{arxiv.1703.05112,
title = {Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation},
author = {Romain Joly and Julien Royer},
journal= {arXiv preprint arXiv:1703.05112},
year = {2017}
}