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arXiv · 1810.08972

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

Monica De Angelis
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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.

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Monica De Angelis. 2018-10-21. A wave equation perturbed by viscous terms: fast and slow times diffusion effects in a Neumann problem. https://arxiv.org/abs/1810.08972

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