Andrea Aspri

An Elastic Model for Volcanology (eBook, PDF)

• Format: PDF

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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 126
• Erscheinungstermin: 8. November 2019
• Englisch
• ISBN-13: 9783030314750
• Artikelnr.: 58115565

Inhaltsangabe

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