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.
A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem / de Angelis, Monica. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 68:1(2019), pp. 237-252. [10.1007/s11587-018-0400-1]
A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem
de Angelis, Monica
2019
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.File in questo prodotto:
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