Seismic pulse propagation with constant Q and stable probability distributions

The one-dimensional propagation of seismic waves with constant Q is shown to be governed by an evolution equation of fractional order in time, which interpolates the heat equation and the wave equation. The fundamental solutions for the Cauchy and Signalling problems are expressed in terms of entire...

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Bibliographic Details
Main Authors: M. Tomirotti, F. Mainardi
Format: Article
Language:English
Published: Istituto Nazionale di Geofisica e Vulcanologia (INGV) 1997-06-01
Series:Annals of Geophysics
Subjects:
Online Access:http://www.annalsofgeophysics.eu/index.php/annals/article/view/3863