An Elastic Model for Volcanology

By Andrea Aspri

This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth's interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches-one involving weighted Sobolev spaces, and the other using single and double layer potentials-the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.

• Format: Paperback
• Language: English
• ISBN: 303031474X
• ISBN13: 9783030314743
• Release Date: November 2019
• Publisher: Birkhauser
• Length: 126 Pages
• Weight: 0.45 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"