A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem
Mathematical Physics
2018-10-23 v1 math.MP
Abstract
A Neumann problem for a wave equation perturbed by viscous terms with small parameters is considered. The interaction of waves with the diffusion effects caused by a higher-order derivative with small coefficient {\epsilon}, is investigated. Results obtained prove that for slow time {\epsilon}t < 1 waves are propagated almost undisturbed, while for fast time t > 1 {\epsilon} diffusion effects prevail.
Cite
@article{arxiv.1810.08972,
title = {A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem},
author = {Monica De Angelis},
journal= {arXiv preprint arXiv:1810.08972},
year = {2018}
}
Comments
Ricerche di Matematica (2018)