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

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

2012-02-20

arxiv.org/abs/1202.4251v2

Physics

Mathematical Physics

5 pages, 2 figures. Pre-print paper. Presented at the 5th IFAC Symposium on Fractional Differentiation and Its Applications (F

Scientific paper

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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