paper

A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem

arXiv:1810.08972

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 ε, is investigated. Results obtained prove that for slow time εt < 1 waves are propagated almost undisturbed, while for fast time t > 1 ε diffusion effects prevail.

arXiv commentRicerche di Matematica (2018)

References in corpus (5)