Titlebook: Waves with Power-Law Attenuation; Sverre Holm Book 2019 Springer Nature Switzerland AG 2019 Power laws acoustics.Linear viscoelasticity.El

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Classical Wave Equationsodel is based on the standard linear solid or Zener model. The multiple-relaxation model for seawater and air are also shown to be based on the Maxwell–Wiechert model, which is a generalization of the Zener model. This establishes the foundation for later generalization to fractional versions of the linear viscoelastic models.

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Justification for Power Laws and Fractional Models These models have temporal responses that are characterized by power laws, either exactly or asymptotically, and this corresponds to observed temporal characteristics in many media. The character of the fractional derivative operator is also such that it describes temporal memory in the media.

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Introduction,becomes negative. Such attenuation cannot be described with the equations above and the question that I asked myself some 15–20 years ago was whether it is possible to describe this in a better way. This book is the result of my quest for an answer.

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