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An Elastic Model for Volcanology

An Elastic Model for Volcanology

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783030314743
Condition
New
Product Description

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 Earths 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 approachesone involving weighted Sobolev spaces, and the other using single and double layer potentialsthe 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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