Tuesday, February 21, 2012

1202.4251 (Sven Peter Näsholm et al.)

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

Sven Peter Näsholm, Sverre Holm
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.
View original: http://arxiv.org/abs/1202.4251

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