An Elastic Model for Volcanology

di Andrea Aspri (Autore)

Springer Nature Switzerland AG, 2019

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.

• Autore: Andrea Aspri
• Editore: Springer Nature Switzerland AG
• Collana: Lecture Notes in Geosystems Mathematics and Computing
• Anno: 2019
• Rilegatura: Paperback / softback
• Pagine: 126 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783030314743

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