An Elastic Model for Volcanology

Resource Information

The work An Elastic Model for Volcanology represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.

Label

An Elastic Model for Volcanology

Statement of responsibility

by Andrea Aspri

Creator

• Aspri, Andrea

Subject

• Geophysics
• Mathematical models
• Partial differential equations
• Potential theory (Mathematics)

Language

eng

Summary

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.--

Member of

• Lecture Notes in Geosystems Mathematics and Computing

Assigning source

Provided by publisher

Image bit depth

0

Literary form

non fiction

Nature of contents

dictionaries

Series statement

• Lecture Notes in Geosystems Mathematics and Computing
• Springer eBooks.