An Elastic Model for Volcanology / Lecture Notes in Geosystems Mathematics and Computing (PDF)
(Sprache: Englisch)
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,...
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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.
Bibliographische Angaben
- Autor: Andrea Aspri
- 2019, 1st ed. 2019, 126 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3030314758
- ISBN-13: 9783030314750
- Erscheinungsdatum: 08.11.2019
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 1.48 MB
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Sprache:
Englisch
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