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

2018/10/21 by Monica De Angelis, De Angelis, Monica
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1810.08972

Ricerche di Matematica (2018)

arxiv created 2018/10/21 · openalex publication_date 2018/10/21 · arxiv updated 2018/10/23 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

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.

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