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arXiv · 1202.4251

A Fractional Acoustic Wave Equation from Multiple Relaxation Loss and Conservation Laws

Sven Peter Näsholm·Sverre Holm
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Abstract

This work concerns causal acoustical wave equations which imply frequency power-law attenuation. A connection between the five-parameter fractional Zener wave equation, which is derived from a fractional stress-strain relation plus conservations of mass and momentum, and the physically well established multiple relaxation framework is developed. It is shown that for a certain continuous distribution of relaxation mechanisms, the two descriptions are equal.

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Sven Peter Näsholm, Sverre Holm. 2012-04-21. A Fractional Acoustic Wave Equation from Multiple Relaxation Loss and Conservation Laws. https://arxiv.org/abs/1202.4251

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