Andrea Aspri

An Elastic Model for Volcanology

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Geosystems Mathematics and Computing
• Verlag: Birkhäuser / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-31474-3
• 1st ed. 2019
• Seitenzahl: 136
• Erscheinungstermin: 9. November 2019
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 220g
• ISBN-13: 9783030314743
• ISBN-10: 303031474X
• Artikelnr.: 57491568

Inhaltsangabe

Preface.- From the physical to the mathematical model.- A scalar model in the half-space.- Analysis of the elastic model.- Index.

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Preface.- From the physical to the mathematical model.- A scalar model in the half-space.- Analysis of the elastic model.- Index.