An Elastic Model for Volcanology (Paperback) (ISBN-13: 9783030314743)

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.

Author: Andrea Aspri
ISBN-10: 303031474X
ISBN-13: 9783030314743
Publisher: Birkhauser
Language: English
Published: 11/09/2019
Pages: 126
Format: Paperback
Weight: 0.45lbs
Size: 9.21h x 6.14w x 0.30d