An Elastic Model for Volcanology / Lecture Notes in Geosystems Mathematics and Computing (PDF)

Name: An Elastic Model for Volcanology / Lecture Notes in Geosystems Mathematics and Computing
Brand: Springer-Verlag GmbH
SKU: 129873799
Price: 54.99 EUR
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(Sprache: Englisch)

Autor: Andrea Aspri

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An Elastic Model for Volcanology / Lecture Notes in Geosystems Mathematics and Computing, Andrea Aspri

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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.