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Wir sind gerne für Sie daThis 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.
Produkteigenschaften
- Artikelnummer: 9783030314743
- Medium: Buch
- ISBN: 978-3-030-31474-3
- Verlag: Springer International Publishing
- Erscheinungstermin: 09.11.2019
- Sprache(n): Englisch
- Auflage: 1. Auflage 2019
- Serie: Lecture Notes in Geosystems Mathematics and Computing
- Produktform: Kartoniert
- Gewicht: 219 g
- Seiten: 126
- Format (B x H x T): 155 x 235 x 8 mm
- Ausgabetyp: Kein, Unbekannt